Question

∠A and \angle B∠B are complementary angles. If m\angle A=(6x+29)^{\circ}∠A=(6x+29)

∘
and m\angle B=(x+5)^{\circ}∠B=(x+5)
∘
, then find the measure of \angle A∠A.

Answer 1

Explanation:

Complementary angles add up to 90

6x + 29 + x + 5 = 90

6x + x + 29 + 5 = 90

7x + 34 = 90

7x = 90 - 34 {Subtract 34 from both sides}

7x = 56

x = 56/6 {Divide both sides by 6}

x = 8

∠A = 6x + 29

= 6*8 + 29

= 48 + 29

∠A = 77°