To find the angle measure of ∠GHI, subtract the angle measure of ∠LKJ (34 degrees) from 90 degrees (complementary angles have a sum of 90 degrees).
90 degrees - 34 degrees = 56 degrees
Therefore, the angle measure of ∠GHI is 56 degrees.
Complementary Angles Quick Check
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Question
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
124°
124 degrees
146°
146 degrees
56°
1 answer