Use the image to answer the 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
56°
56 degrees
146°
146 degrees
124°
To find the angle measure of ∠GHI, we need to find its complement. The complement of an angle is the angle that, when added to the given angle, equals 90 degrees.
Since ∠LKJ and ∠GHI are complementary angles, we have ∠LKJ + ∠GHI = 90 degrees.
Given that ∠LKJ measures 34 degrees, we can rewrite the equation as:
34 + ∠GHI = 90
To solve for ∠GHI, we subtract 34 from both sides:
∠GHI = 90 - 34
∠GHI = 56 degrees
Therefore, the angle measure of ∠GHI is 56 degrees.