Question

Given m∠1 = x degrees and m∠2 = (x + 50).
Find the value of x. Then find m∠1 and m∠2.

Answer 1

x= 65°
Angle 1= 65°
Angle 2= 115°

Answer 2

x = 65

∠m1 = 65

∠m2 = 115

Explanation:

We know that two adjacent angles of a trapeze sum up 180º

Therefore:

∠m1 + m2 = 180

x + x + 50 = 180

2x = 130

x = 65

And ∠m1= 65

∠m2 = 65 +50 = 115