Answer:
Explanation:
6) Number of sides = n = 7
Sum of all the sides of the mentioned polygon = (n - 2)*180 = (7-2)*180 = 5 *180
= 900
x + 125 + 119 + 117 +145+133 +140 = 900
x + 779 = 900
x = 900 - 779
x = 121
7) Number of sides = n = 5
Sum of all the sides of the mentioned polygon = (n - 2)*180
= 3 *180 = 540
90 + 9x - 6 + 3x +23 + 95 + 7x- 4 = 540
90 - 6 + 23 + 95 - 4 + 9x + 3x + 7x = 540
198 + 19x = 540
19x = 540 - 198
19x = 342
x = 342/19
x = 18
8) Number of sides = n = 8
Sum of all the sides of the mentioned polygon = (n - 2)*180
= 6*180
= 1080
This is a regular polygon (All sides are equal). so all the angles are equal.
One angle = 1080 ÷ 8 = 135
16x +23 = 135
16x = 135 - 23
16x = 112
x = 112/16
x = 7