Question

∠A and \angle B∠B are complementary angles. If m\angle A=(x+10)^{\circ}∠A=(x+10)

∘
and m\angle B=(3x+28)^{\circ}∠B=(3x+28)
∘
, then find the measure of \angle B∠B.

Answer 1

67

Explanation:

Complementary angles add to 90 degrees

<A + <B = 90

x+10 + 3x+28 = 90

Combine like terms

4x+38 =90

Subtract 38 from each side

4x+38-38 = 90-38

4x = 52

Divide by 4

4x/4 = 52/4

x = 13

We want to find <B

<B = 3x+28

= 3(13) +28

= 39+28

=67