a) hexagon. 720
b) Septagon. 900
c) Nonagon. 1260
d) 15-gon. 2340
2) Find the measure, in degrees, of each interior angle of a regular.
a) pentagon. 108
b) octagon. 135
c) decagon. 144
d) 16-gon. 157.5
3) Find the measure, in degrees, of each exterior angle of a regular polygon containing :
a) 6 sides. 60
b) 8 sides. 45
c) 15 sides. 24
d) 20 sides. 18
4) Find the number of sides of a polygon, the sum of whose interior angles is:
a) 24 right angles. 14
b) 1620. 11
c) 2880. 18
5) Find the number of sides in a regular polygon, if each of its exterior angle is:
i) 72°. 5
ii) 24°. 15
iii) 22.5°. 16
iv) 15°. 24
6) Find the number of sides in a regular polygon, if each of its interior angles is
i) 120°. 6
ii) 150°. 12
iii) 160°. 18
iv) 165°. 24
7) Is it possible to describe a polygon, the sum of whose interior angle is :
a) 320°. No
b) 540°. Yes
c) 11 right angles. No
d) 14 right angles. Yes
8) Is it possible to regular polygon, each of whose exterior angle is:
a) 32°. Yes
b) 18°. No
c) 1/8 of a right angle. Yes
d) 89°. No
9) Is it possible to have a regular polygon, each of whose interior angle is;
a) 120°. Yes
b) 105°. No
c) 175°. Yes
d) 130°. No
) Find the number of sides of a regular polygon, if each of its interior angle is 140°. 9
) Is it possible to have a regular polygon each of whose interior angle is 100°. No
) The angles of a quadrilateral are in the ratio 6:3:2:4. Find the angles. 144, 72, 48, 96
) The angles of a pentagon are in the ratio 3:4:5:2:4. Find the angles. 90, 120, 150, 60, 120
) One angle of a polygon is 140°. If the remaining angles are in the ratio 1 :2 :3 :4, find the size of the greatest angle. 160°
) The angles of a pentagon are are (3x + 5)° , (x + 16)°, (2x + 9)°, (3x - 8)° and (4x - 15)° respectively. Find the value of x and hence find the measure of all the angles of the pentagon. 41, 128,57,91,115,149
) The angles of a hexagon are 2x°, ( 2x + 25)°, 3(x - 15)°, (3x - 20)°, 2(x +5)° and 3(x- 5)° respectively. Find the value of x and hence find the measure of all the angle of the hexagon. 51, 102,127,108,133,112,138
) Three of the exterior angles of a hexagon are 40°, 52° and 85° respectively and each of the remaining exterior angles is x°, find the value of x. 61
) One angle of an octagon is 100° and the other angles are all equal. Find the measure of each of the equal angles. 140
) The interior angle of a regular polygon is double the exterior angle. Find the number of sides in the polygon. 6
) The exterior angle of a regular polygon is 1/3 of its interior angle. Find the number of sides of the polygon. 8
) The ratio of each interior angle to each exterior angle of a regular polygon is 7:2. Find the number of sides in the polygon. 9
) The sum of the interior angle of a polygon is 6 times the sum of its exterior angles. Find the number of sides in the polygon. 14
) The sum of all the interior angles of a polygon is 2160°. How many side does the polygon have ? 14
) Two angles of a convex polygon are right angles and each of the other is 120°. Find the number of the sides of the polygon. 5
) The difference between an exterior angle of a regular polygonal of n sides and an exterior angle of a regular polygon of (n+1) sides is 5°. Find the value of n. 8
) The ratio between the number of sides of two polygons is 3:4 and the ratio between the sum of their interior angles is 2:3. Find the number sides in each polygon. 6,8
) The number of sides of two regular polygons are in the ratio 4:5 and their interior angles are in the ratio 15:16. Find the number of sides of the each polygon. 8,10
) The number of sides of two regular polygons are in the ratio 1:2 and their interior angles are in the ratio 3:4. Find the number of sides and each polygon. 5,10
) Each interior angle of a regular polygon is 140°. Find the interior angle of a regular polygon which has double the number of sides as the first polygon. 160°
) In a polygon, there are 5 right angles and the remaining angles are 195° each. Find the number of sides in the polygon. 11
) How many diagonals are there in;
a) pentagon . 5
b) hexagon. 9
c) octagon. 20
) The alternate sides of any pentagon are produced to meet, so as to form a star-shaped figure, shown in the figure.
) ABCDE is a regular pentagon. Calculate
b) the ratio angAEB/angBED. 1/2
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