The definition of complementary angles is that the sum of their measures is 90 degrees. Given that ∠LKJ measures 34 degrees and ∠LKJ and ∠GHI are complementary angles, we can set up the equation:
34 + x = 90
To solve for x, we subtract 34 from both sides of the equation:
x = 90 - 34
x = 56
Therefore, the angle measure of ∠GHI is 56 degrees.
Therefore, the correct answer is 56°.
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 ?
124°
146°
66°
56°
1 answer
1 answer