Book
Maths Puzzle
Geometry
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
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