Question

In the following diagram HI is parallel to JK. what is the measure of x?

Answer 1

x = 58

Explanation:

I hope this helps!

Answer 2

x = 58

Explanation:

∠A = 66

∠H = 56

∠K = x

We know that two lines are parallel.

If two lines are parallel corresponding angles are equal.

In the given figure,

∠K and ∠I are corresponding angles.

∠K = ∠I = x

∠A, ∠l, and ∠H are interior angles of a triangle.

Sum of interior angles of a triangle is supplementary ( = 180 )

x + 66 + 56 = 180

x = 180 - 66 - 56

= 180 - 122

x = 58

Hence,

The measure of x is 58.