Question

Find the measure of angle 1

Answer 1

44°

Explanation:

8x - 4 = 6x + 8 (This is because they are corresponding angles)

8x - 6x = 8 + 4

2x = 12

x = 12 ÷ 2

x = 6

6x + 8 = angle 1 (Vertically opposite angles are equal)

Substitute the value of x in the equation '6x +8' to get the size of the angle.

6 × 6 + 8

36 + 8 = 44°

Angle 1 = 44°