Questions on Geometry: Polygons answered by real tutors!

Tutors Answer Your Questions about Polygons (FREE)

Question 457554: find the number of sides in a regular polygon that has an interior angle of 165.5?
with an explaination please .
Click here to see answer by jim_thompson5910(28595)

Question 457814: Is it possible to have a regular polygon with at least one 100 Degree angle.
Click here to see answer by stanbon(57342)

Question 459134: The sum of the measures of the interior angels of a regular polygon is 20 times the square of the number of sides. What kind(s) of polygon(s) could this be?
Click here to see answer by stanbon(57342)

Question 459733: To the nearest degree what is the measure of each exterior angle of a regular 11-gon?
Click here to see answer by richard1234(5390)

Question 460469: The interior angles of a regular polygon measure 160° each. The numbers of diagonals of the polygon are
Click here to see answer by stanbon(57342)

Question 461249: What is the number of sides of a regular polygon if one angle measures 156°
Click here to see answer by MathLover1(6632)

Question 461249: What is the number of sides of a regular polygon if one angle measures 156°
Click here to see answer by Gogonati(809)

Question 461255: One exterior angle of a regular polygon measures 36 degrees. What is the sum of the polygons interior angle measure
Click here to see answer by Gogonati(809)

Question 461265: on my homework i have a polygon shape and the four interior angles are (5x+30), (10x-10), (8x-1, and (6x-7)... how do i solve for x?
Click here to see answer by Gogonati(809)

Question 461252: A polygon is such that when all diagonals from one vertex are drawn, eleven triangles are formed. How many sides does the polygon have?

Click here to see answer by Gogonati(809)

Question 461551: How is dividing a polynomial by a binomial similar to or different from the long division learned in elementary school?
Click here to see answer by algebrahouse.com(1079)

Question 461903: how many sides does a polygon have if the sum of it angles measures is 2700 degrees?
Click here to see answer by stanbon(57342)

Question 461920: Solve the following systems of equations and state if any lines are parallel:
y + 7x + 6 = 0
y = 2x + 30

Click here to see answer by algebrahouse.com(1079)

Question 462640: Solve the following systems of equations and state if any lines are parallel: y = 1x + 5
-7x + 45 = y

Click here to see answer by MathLover1(6632)

Question 462642: Sketch and label pentagon ABCDE with AB = BC
Click here to see answer by richard1234(5390)

Question 463059: How do you find how many sides would a regular polygon have if you only know each interior angle measures ?
Click here to see answer by Theo(3464)

Question 463059: How do you find how many sides would a regular polygon have if you only know each interior angle measures ?
Click here to see answer by richard1234(5390)

Question 464025: each interior angle of each regular polygon is twice the measurement of each exterior angle.how many diagonals does the polygon have?
Click here to see answer by Gogonati(809)

Question 464344: If a polygon has 9 sides, how many angles does it have?

Click here to see answer by Alan3354(30993)

Question 465755: im tryin to build a 8 sided gazebo. it is 10ft wide how do i find the lenght of each outside board, 8 total. all sides should be equal.
Click here to see answer by Alan3354(30993)

Question 465926: Solve for x in the following proportion: 3/5 = 18/x

Click here to see answer by bucky(2189)

Question 466691: 360= (x+20)+(x+5)+(x-5)+(x+10)
How would i find the interior angle?
Click here to see answer by richard1234(5390)

Question 467200: formula in finding measurement of sides of a polygon gives a angle

Click here to see answer by Big Poop(157)

Question 467177: The measure of one interior angle of a regular polygon is 60 degrees more than five times the measure of the exterior angle of the same vertex. How many sides does the polygon have?
Click here to see answer by Big Poop(157)

Question 467301: If a regular shape has 10 sides, what is the measure of one of its interior angles?
Click here to see answer by stanbon(57342)

Question 467612: The length of a side of an equilateral triangle is the same as the length of a rectangle and the width of the rectangle is 2 inches less than its length. If the perimeter of the triangle is 4 inches less than the perimeter of the rectangle, what are the dimensions of the rectangle?
Click here to see answer by jorel1380(2518)

Question 467613: A square and a rectangle have the same area. The length of the rectangle is 8 more than a side of the square, and the width of the rectangle is 4 less than a side of the square. Find a side of the square.
Click here to see answer by jorel1380(2518)

Question 468012: How many angles would a regular polygon have if each exterior angles measures 5?
Click here to see answer by ewatrrr(10682)

Question 468353: find the sum of the measures of the exterior angles in a 20-gon
Click here to see answer by Alan3354(30993)

Question 468511: 13/12 is the arithemetic mean is a & b, and a is recipocal of b.then find a & b.
Click here to see answer by rfadrogane(214)

Question 469875: What is the sum of all the angles in a polygon?
Click here to see answer by duckness73(43)

Question 470599: Find the number of sides. Each interior angle measures: a) 156 degrees
Click here to see answer by jim_thompson5910(28595)

Question 471072: how many diagonals does a polygon have if its angle sum is 1080 degrees ?
Click here to see answer by ccs2011(207)

Question 471793: A regular polygon has each interior angle 150 degrees greater than each exterior angle. How many sides has the polygon?
Thanks
Click here to see answer by Alan3354(30993)

Question 472374: what is the sum of the measure of the exterior angle of a convez hexagon?
Click here to see answer by Alan3354(30993)

Question 472301: Question 46 in my book. A polygon has n sides. An interior angle of the polygon and an adjacent exterior angle for a straight angle.
a. What is the sum of the measures of the n straight angles?
b. What is the sum of the measures of the n interior angles?
c. Using your answers abouve, what is the sum of the measures of the n exterior angles?
d. What theorem do the steps above lead to?
I have a feeling you use the Polygon Angle-Sum Theorem: The sum of the measures of the angles of an n-gon is (n-2)180 but I don't know where to use it and also the Polygon Exterior Angle-Sum Theorem: The sum of the measures of the exterior angles of a polygon, one at each vertext, is 360.
Thank you very much! It's much appreciated :-)
Click here to see answer by richard1234(5390)

Question 472764: What is the measure of one of the interior angles of a regular heptagon?
Click here to see answer by ewatrrr(10682)

Question 472942: a regular polygon has an exterior angle with a measure of 20 degrees find the number of sides ?

Click here to see answer by Alan3354(30993)

Question 474448: Each interior angle of a regular polygon is 20 more than 3 times the measure of each exterior angle. Find the number of sides of each polygon.
Click here to see answer by stanbon(57342)

Question 474771: how do you describe a triangle simply in terms of geometry concepts?
Click here to see answer by richard1234(5390)

Question 475146: In a regular polygon, each central angle measures 30 degrees. If each side of the regular polygon measures 5.7 in. find the perimeter of the polygon.
Click here to see answer by Alan3354(30993)

Question 475186: A checkered flag used for racing is a square flag containing 64 alternating white and black squares. How many squares on the checkered flag contain an equal number of white and black squares?
Click here to see answer by richard1234(5390)

Question 475485: If IR is 150 degrees , how many sides does the figure have?
Click here to see answer by richard1234(5390)

Question 475684: The angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6. Find the number if degrees contained in the largest angle of the quadrilateral
Click here to see answer by robertb(4012)

Question 475847: A sphere is inscribed in a cube of length 5cm. Find the difference between the volume of the cube and the sphere.
Click here to see answer by stanbon(57342)

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