Question

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

Solve for X then find the measurement of ∠B:

Answer 1

x = 6

∠B = 126

Explanation:

∠A = ∠B through alternate interior angles

∠A = ∠B

8x + 78 = 2x + 114

8x - 2x = 114 - 78

6x = 36

x = 36 ÷ 6

x = 6

∠B = 2x + 114

2(6) + 114

12 + 114

= 126

Answer 2

d1 || d2 => ∡A = ∡B

8x + 78° = 2x + 114°

8x - 2x = 114° - 78°

6x = 36°

x = 36° : 6

x = 6°

∡B = 2x + 114°

∡B = 2×6° + 114°

∡B = 12° + 114°

∡B = 126°