Complementary Angles Quick Check

Question

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Question
Use the image to answer the question.

An illustration shows five points upper L, upper M, upper N, upper O, and upper P. Five rays from a common vertex at upper Q extend through the five points. The rays extend beyond the five points with an arrow on one side. The rays upper Q upper L, upper Q upper M, upper Q upper N, upper Q upper O, and upper Q upper P join the points from upper Q. The ray upper Q upper M extends horizontal to the left of upper Q. The ray upper Q upper N extends upward to the left of upper Q. The ray upper Q upper O is inclined upward to the right of upper Q. The ray upper Q upper P is horizontal to the right of upper Q. The ray upper Q upper L extends to the bottom left of upper Q. Angle upper N upper Q upper O is marked with a right angle symbol. Angle upper P upper Q upper O is labeled 50 degrees.

What two angles are complementary angles?

(1 point)
Responses

∠MQN and ∠NQO
angle upper M upper Q upper N and angle upper N upper Q upper O

∠LQM and ∠MQN
angle upper L upper Q upper M and angle upper M upper Q upper N

∠LQP and ∠PQO
angle upper L upper Q upper P and angle upper P upper Q upper O

∠MQL and ∠LQP

Answer 1

angle upper M upper Q upper L and angle upper L upper Q upper P

Answer 2

are you sure?

Answer 3

I apologize for the incorrect response. The correct answer is:

∠LQM and ∠MQN

(angle upper L upper Q upper M and angle upper M upper Q upper N)

Answer 4

are you sure

Answer 5

I apologize for the confusion. Upon reviewing the given information, the correct answer is:

∠LQP and ∠PQO

(angle upper L upper Q upper P and angle upper P upper Q upper O)

Answer 6

explain bot

Answer 7

I apologize for the confusion earlier. A complementary angle is formed when the sum of two angles equals 90 degrees. In the given information, the angle labeled as 50 degrees is angle upper P upper Q upper O. Therefore, the angle that is complementary to it would be the angle that, when added to angle upper P upper Q upper O, would equal 90 degrees. From the given options, the angle that satisfies this condition is ∠LQP (angle upper L upper Q upper P). Therefore, ∠LQP and ∠PQO (angle upper P upper Q upper O) are the complementary angles in the image.