Use the image to answer the question.

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

∠MQL
and ∠LQP
angle upper M upper Q upper L and angle upper L upper Q upper P

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

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

∠MQN
and ∠NQO

Answer 1

To identify complementary angles, we need to find pairs of angles that add up to 90 degrees.

From the information provided:

• Angle ∠NQO is a right angle, which means it is 90 degrees.
• Angle ∠PQO is labeled as 50 degrees.

Since ∠NQO (90 degrees) and ∠PQO (50 degrees) are not complementary (as one of them is already a right angle), we look for angles that sum to 90 degrees.

Angle ∠LQP and angle ∠PQO can be checked:

• Assume angle ∠LQP is below angle ∠PQO, since they are adjacent at point Q. The measurements of these angles would need to be considered, but if we are not provided with the degree for ∠LQP, we cannot sum it with ∠PQO.

Based on what is given: The complementary angle pair with respect to a right angle would likely be ∠MQN and ∠NQO on the premises that they are angles around point Q that must relate to the right angle and others.

Thus, the correct response would be:

∠MQN and ∠NQO