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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

124°
124 degrees

56°
56 degrees

146°
146 degrees

66°
66 degrees
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Answer 1

Complementary angles are two angles whose measures add up to 90 degrees. Given that:

• Angle J K L measures 34 degrees
• Angle G H I (measured as x) is complementary to angle J K L

We can set up the equation:

\[ 34° + x = 90° \]

To find x, subtract 34° from 90°:

\[ x = 90° - 34° \] \[ x = 56° \]

Therefore, the measure of angle G H I is 56 degrees.

The correct response is:

56°