Question 1753: How many interior angles does a undecagon have?
A. 7
B. 9
C. 11
D. 110
How many diagonals can be drawn from each vertex of a decagon?
A. 7
B. 8
C. 9
D. 10
How many distinct diagonals does a hexagon have?
A. 6
B. 9
C. 12
D. 18
Calculate the sum of the interior angles of a convex hexagon.
A. 120°
B. 720°
C. 900°
D. 1080°
Calculate the sum of the interior angles of a convex 40-gon.
A. 171°
B. 360°
C. 6840°
D. 7200°
If possible, give the name of the convex polygon in which the sum of the interior angles equals 1260°.
A. hexagon
B. heptagon
C. nonagon
D. no such polygon exists
In the convex quadrilateral ABCD, if A D, mB = 110°, and mC = 60°, find mA.
A. 95°
B. 170°
C. 190°
D. 360°
Suppose the interior angles of a convex pentagon are five consecutive numbers, find the measure of the largest angle.
A. 105°
B. 106°
C. 109°
D. 110°
Use the following figure to answer question 12.
Which list of angles represents one set of exterior angles of LMN?
A. 1, 2, and 3
B. 2, 5, and 8
C. 3, 6, and 9
D. 1, 3, 4, 6, 7, and 9
Question 12
If five of the exterior angles of a convex hexagon measure 55°, 60°, 63°, 70°, and 81°, find the measure of the sixth exterior angle.
A. 31°
B. 60°
C. 120°
D. 391°
If the exterior angles of a convex octagon are x + 13, 2x - 1, 2x + 6, 2x + 12, 2x - 17, 3x - 4, 3x - 10, and 4x, calculate the smallest of the eight angles.
A. 19°
B. 21°
C. 32°
D. 37°
How many sides would a regular polygon have if each interior angle measures 162°?
A. 10
B. 12
C. 18
D. 20
How many angles would a regular polygon have if each exterior angle measures 5°?
A. 36
B. 37
C. 72
D. 74
It is possible for the exterior angles of a regular polygon to measure 30°.
A. true
B. false
It is possible for the interior angles of a regular polygon to measure 145°.
A. true
B. false
Calculate the measure for each exterior angle of a regular nonagon.
A. 20°
B. 40°
C. 140°
D. 1260°
Calculate the measure for each interior angle of a regular 15-gon.
A. 12°
B. 24°
C. 156°
D. 2340°
Answer by longjonsilver(2297)   (Show Source):
You can put this solution on YOUR website! undecagon...means 1-10sided ie 11-sided. Learn Latin :-)
Interior angles...any shape can be split into triangles..a quadrilateral (any 4-sided figure) can be split into 2 triangles, so:
3-sided figure = 1 triangle, so interior angles add up to 180
4-sided figure = 2 triangle, so interior angles add up to 360
5-sided figure = 3 triangle, so interior angles add up to 540
6-sided figure = 4 triangle, so interior angles add up to 720
etc. No formula to learn, just understand that each shape can be made up of triangles... 40 sided figure is made up of 38 triangles therefore interior angles are 38x180 = 6840degrees.
Given an interior angle sum...divide it by 180. If you get a whole number then that is possible to have a polygon.
All in all, so many questions on polygons...learn the basics from your notes and try to answer them and then when you get really stuck and have looked in a textbook, come here and ask a specific question rather than just writing every question you got :-D
Enjoy maths - they are just puzzles with a definite answer.
Jon.
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