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

66°
66 degrees

124°
124 degrees

146°
146 degrees

56°

Answer 1

To find the angle measure of ∠GHI, we need to find the angle measure that, when added to ∠LKJ, equals 90 degrees. Since ∠LKJ measures 34 degrees, we subtract 34 from 90 to find that the angle measure of ∠GHI is 56 degrees. Therefore, the correct answer is 56°.