Questions on Geometry: Polygons answered by real tutors!

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Question 1040520: PQRSTU is a regular hexagon. Determine each angle of triangle PQT.
Click here to see answer by Aldorozos(172)

Question 1040556: the sum of the interior angles of a polygon is three times the sum of its exterior angles . Determine the number of sides of the polygon
Click here to see answer by ikleyn(52781)

Question 1040555: determine the number of sides of a polygon whose exterior and interior angles are in the ratio 1 : 5
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Question 1040638:
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Question 1040997: A regular hexagon has an interior angle of measure (8x)^0. Find the value of x.
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Question 1040997: A regular hexagon has an interior angle of measure (8x)^0. Find the value of x.
Click here to see answer by KMST(5328)

Question 1041082: You are a botanist studying a rare flower. The center of the flower is a regular polygon. The petals coming off the flower are roughly triangular in shape.
https://byuis.brainhoney.com/Resource/46824920,0/Assets/Media/Images/41.5-HOT3-Flower.jpg

a. What is the name of the center polygon?
b. What is the sum of the interior angles of the center?
c. What is the measure of each interior angle of the center?
d. In order to compare the size of the petals to other flowers of the same species you need to determine the exterior angle of the polygon. What is the measure of the exterior angle of the polygon?
Thanks in advance!
Click here to see answer by Alan3354(69443)

Question 1041695: Five of the interior angles of a hexagon are 100 degrees, 110 degrees, 125 degrees, 134 degrees, and 140 degrees. Calculate the size of the other interior angle.
Click here to see answer by ikleyn(52781)

Question 1041696: If the sum of the interior angles of a polygon is 12 right angles, find the number of sides it has.
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Question 1042974: The line joining the mid points of the diagonal of a trapezoid has length 3. If the longer base is 97 then the shorter base is???
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Question 1043593: Three of the interior angles of a heptagon are 2x,4x,5x while the remaining four angles are each equal to 115
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Question 1043599: how many sides are there for a regular polygon whose each interior angle is 108 degree
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Question 1043599: how many sides are there for a regular polygon whose each interior angle is 108 degree
Click here to see answer by ikleyn(52781)

Question 1043817: one side of square A is a diagnol of square B. What is the ratio of the area of square B to area of square A?

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Question 1044043: Find the number of sides of each of the two polygons if the total number of sides of the polygons is 15 and the sum of the number of diagonals is 36
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Question 1044514: Given that the perimeter of a triangle is 180 inches if the angles of the triangle are in the ratio 5:6:7 determine the sides of the triangle
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Question 1044515: A region of land, 50m by 40m is to cross diagonally by a road 15m wide what is the road's area?
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Question 1044590: The measure of each interior angle of a triangle is a multiple of 15 degrees. How many possible triangles are there that three angles are all distinct?
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Question 1044690: Is it possible to have a regular polygon each of whose exterior angel is 50 ?
Click here to see answer by Edwin McCravy(20055)

Question 1044690: Is it possible to have a regular polygon each of whose exterior angel is 50 ?
Click here to see answer by Theo(13342)

Question 1044879: If the measure of an interior angle of a regular polygon is greater than 150�, what is the least number of sides it can have?
A) 10 B) 11 C) 12 D) 13
Click here to see answer by addingup(3677)

Question 1044901: Find the sides of a rectangle if one side is 4cm longer than the other and the area is 45cm^2
Click here to see answer by josgarithmetic(39617)

Question 1044903: Find the altitude of an isosceles trapezoid if its perimeter is 40cm, the area is 84cm^2 and each leg is 11cm long
Click here to see answer by advanced_Learner(501)

Question 1044902: Find the area of a rhombus if each side measures 5cm and the shorter diagonal is 6m
Click here to see answer by ikleyn(52781)

Question 1044900: One side of a parallelogram is 10cm and its diagonals are 16m and 24cm respectively. Find its area
Click here to see answer by ikleyn(52781)

Question 1045364: If a convex quadrilateral polygon has
2 rectangle and other angle with 120� then what is the no of sides of that polygon?
Click here to see answer by ikleyn(52781)

Question 1045493: Pls help me to solve this ques.
The sum of interior angles of a regular polygon is twice the sum of its interior angle. Find the no. Of sides of the polygon
Click here to see answer by stanbon(75887)

Question 1045492: Pls help me to solve this ques.
An exterior angle of a regular polygon is one- fourth of its interior angle. Find the number of sides in the polygon.

Click here to see answer by Alan3354(69443)

Question 1045593: how do you find the perimeter and area of a polygon with 4 vertices?
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Question 1045593: how do you find the perimeter and area of a polygon with 4 vertices?
Click here to see answer by ikleyn(52781)

Question 1045740: What is the lowest degree of rotation greater than zero that will carry the hexagon onto itself?
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Question 1046543: Darnell draws a polygon with all congruent angles . The sum of the measures of the interior angles is 1260 . What is the measure of each interior angles
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Question 1046913: How do you find a perimeter of a polygon when you don't know the measurements of the sides?
Click here to see answer by addingup(3677)

Question 1046913: How do you find a perimeter of a polygon when you don't know the measurements of the sides?
Click here to see answer by ikleyn(52781)

Question 1046890: What's the smallest angle of rotational symmetry that maps a regular nonagon onto itself
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Question 1046974: What is the measure of an exterior angle of a regular 11-sided polygon rounded to the nearest tenth of a degree?
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Question 1047120: The interior angle of a regular polygon with 30 sides is 24 less than each exterior angle of a regular polygon with n sides. Calculate the value of n.
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Question 1047114: For a regular 20-sided polygon, what is the degree of rotation?
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Question 1047998: Two angles of polygon are 120� and 90� and the rest are each 166�. Find the number of the sides

Click here to see answer by ikleyn(52781)

Question 1048107: if you rotated a triangle 40 degrees each side to form a regular polygon, how many sides would this polygon have?

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Question 1048305: A polygon is regular if each of its sides has the same length. Find the perimeter of these regular polygons.
a.
Triangle with sides equaling:
side 1= 5-2x
side 2= -4x+9
base is blank
b. 5 sided Polygon
side 1= 3(x-1)
3 other sides are blank
base= 5x-6
Click here to see answer by KMST(5328)

Question 1048501: I'm not even sure if this is the right topic, but here's my problem.
The lengths of the sides of a rectangle are all integers. Four times its perimeter is numerically equal to one less than its area. Find the largest possible perimeter of such a rectangle.
Now I tried manipulating the variables but I'm stuck here.
8x+8y+1=xy
I don't know how to relate this with the maximum value or solve x and y independently or like that, so I really need help.
Thanks.
Click here to see answer by josgarithmetic(39617)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285