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
146°
146 degrees
124°
124 degrees
56°
To find the angle measure of ∠GHI, we can use the fact that complementary angles add up to 90 degrees.
Since ∠LKJ and ∠GHI are complementary angles, we have the equation:
∠LKJ + ∠GHI = 90°
We know that ∠LKJ measures 34 degrees, so we can substitute this value into the equation:
34° + ∠GHI = 90°
Now we can solve for ∠GHI by subtracting 34 from both sides of the equation:
∠GHI = 90° - 34°
∠GHI = 56°
Therefore, the angle measure of ∠GHI is 56 degrees.