Use the image to answer the question.

Question

An illustration shows two non-adjacent angles, with angle J K L measuring 34 degrees and angle G H I measuring x degrees. Ray K L is vertical, and ray H I is horizontal.

If ∠LKJ and ∠GHI are complementary angles, what is the angle measure of ∠GHI?

(1 point)
Responses

56°
56 degrees

146°
146 degrees

124°
124 degrees

66°

Answer 1

Let the angle measure of ∠GHI be x.

Since ∠LKJ and ∠GHI are complementary angles, we know that their measures add up to 90 degrees.

Therefore, 34 + x = 90 degrees.

Solving for x, we subtract 34 from both sides:

x = 90 - 34 = 56 degrees.

So, the angle measure of ∠GHI is 56 degrees.