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
124°
124 degrees
146°
146 degrees
1 answer
Complementary angles are two angles whose measures add up to 90 degrees. Given that angle JKL measures 34 degrees and angle GHI is represented by x degrees, we can set up the following equation:
\[ 34 + x = 90 \]
To find the measure of angle GHI (x), we subtract 34 from both sides:
\[ x = 90 - 34 \]
\[ x = 56 \]
Therefore, the angle measure of angle GHI is 56 degrees.
