the measure of ∠B = 85°
Explanation:
m∠A = (x-23)°
m∠B = (2x+29)°
Complementary angles are angles that have their sum equal to 90°:
m∠A + m∠B =90°
(x-23)°+ (2x+29)° = 90°
x + 2x -23 + 29 = 90°
3x + 6 = 90
collect like terms:
3x = 90-6
3x = 84
x = 84/3
x = 28°
m∠B = (2x+29)° = 2(28) + 29
m∠B = 85°
Therefore, the measure of ∠B = 85°
