Question

The angle measurements in the diagram are represented by the following expressions.

Solve for x and then find the measure of ∠B.

Answer 1

x = 8

∠B = 70°

Explanation:

∠A = ∠B through alternate exterior angles.

∠A = ∠B

8x + 6 = 4x + 38

8x - 4x + 6 = 38

4x + 6 = 38

4x = 38 - 6

4x = 32

x = 32 ÷ 4

x = 8

∠B = 4x + 38

4(8) + 38

32 + 38

= 70

Answer 2

Answer: 70

Explanation:

8x+6=4x+38

4x=32

x=8

<B=4x+38=4*8+38=70