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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

56°
56 degrees

66°
66 degrees

124°
124 degrees

146°
146 degrees
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Answer 1

Complementary angles sum up to 90 degrees. Given that angle JKL measures 34 degrees, we can calculate the measure of angle GHI (x) as follows:

\[ x + 34° = 90° \]

To find x, we subtract 34° from 90°:

\[ x = 90° - 34° = 56° \]

Therefore, the angle measure of ∠GHI is 56 degrees.