Question

Find the measures of two complementary angles, ANGLE A AND B, IF m Ð A= 7X+4 and Ð B=4X+9.

X=_____

Angle A=_____

Angle B=_____

Answer 1

x = 7

angle A = 7(7) + 4 = 49 + 4 = 53°

angle B = 4(7) + 9 = 28 + 9 = 37°

Explanation:

m ∠A + m ∠B = 90° Complementary angles sum = 90°

7x + 4 + 4x + 9 = 90

11x + 13 = 90

11x = 77

x = 7

angle A = 7(7) + 4 = 49 + 4 = 53°

angle B = 4(7) + 9 = 28 + 9 = 37°

Check = angle A + angle B = 90° checked