Question

If L is parallel to M, find the values of x, y, and all 3 angles.

Answer 1

8x - 14 = 5x + 34 (alternate exterior angles)

8x - 5x = 34 + 14

3x = 48

x = 48/3

x = 16

5y + 16 + 8x - 14 = 180 (linear pair)

5y + 16 + 8(16) - 14 = 180

5y + 16 + 128 - 14 = 180

5y + 130 = 180

5y = 180 - 130

5y = 50

y = 50/5

y = 10

∠ (8x - 14) = 114 [(8 × 16 -14)=114]

∠ (5x + 34) = 114 [(5 × 16 +34)=114]

∠ (5y + 16) = 66 [(5 × 10 +16)=66]

hope this helps you!