Question

A ∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 2 x + 18 ) ∘ ∠A=(2x+18) ∘ and m ∠ B = ( 6 x + 8 ) ∘ ∠B=(6x+8) ∘ , then find the measure of ∠ B ∠B

Answer 1

<B = 56 degrees

Explanation:

The sum of two complementary angle is 90 degrees

Hence <A + <B = 90

2x++18 + 6x + 8 = 90

8x + 26 = 90

8x = 90-26

8x = 64

x = 64/8

x = 8

Get <B

<B = 6x+8

<B = 6(8) + 8

<B = 48+8

<B = 56 degrees