Answer:
Measure of angle A = 100°
Measure of angle B = 80°
Measure of angle C = 65°
Explanation:
From the given picture,
Angle A and angle B are the linear pair of angles, and linear pair of angles are supplementary angles,
m(∠A) + m(∠B) = 180°
(3x - 20)° + (2x)° = 180°
5x - 20 = 180
5x = 200
x = 40
By substituting the value of x in the measures of each angle,
m(∠A) = (3x - 20)°
= 3(40) - 20
= 120 - 20
= 100°
m(∠B) = 2x°
= 2(40)
= 80°
m(∠C) = (2x - 15)°
= 2(40) - 15
= 80 - 15
= 65°