q = 150° (option A)
Explanation:
We will apply the formula for sum of interior angles of a polygon
The number of sides of the polygon = n = 5
It is a pentagon
Formula for sum of interior angles = 180(n -2)°
= 180(5-2) = 180(3)
sum of interior angles of the pentagon = 540°
95° + 95° + 100° + 100° + q° = 540°
95 + 95 = 190
100+100 = 200
190 + 200 = 390
190° + 200° + q° = 540°
390° + q° = 540°
q = 540 -390
q = 150°
Therefore, the measure of angle q = 150° (option A)
