Question

In the following diagram HI || JK.

What is the measure of x?​

Answer 1

x = 64

Explanation:

Given HI and JK are parallel lines, then

∠HIA = ∠JKI = 60° ( corresponding angles )

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles in ΔHIA from 180

x = 180 - (56 + 60) = 180 - 116 = 64

Answer 2

64

Explanation:

60 + 56 + x = 180

116 + x = 180

x = 180 - 116

x = 64