Question

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

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

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

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

∠MQN
and ∠NQO

Answer 1

To determine which two angles are complementary angles, we need to recall that complementary angles are two angles that add up to 90 degrees.

From the given information:

• We know that ∠NQO is marked as a right angle (90 degrees).
• We also know that ∠PQO is labeled as 50 degrees.

To find the complementary pairs, we look for angles that together total 90 degrees.

∠PQO (50 degrees) and ∠NQO (90 degrees) can be considered, but since one angle is already 90 degrees, we need to find angles that can potentially add up to 90 degrees together.

In this case, we look at the angles ∠MQN and ∠NQO:

• Since ∠NQO is 90 degrees, ∠MQN must be the angle that can be paired with another to sum up to 90 degrees.

Therefore, the pair that adds to 90 degrees is indeed ∠MQN and ∠NQO.

Hence, the response is:

∠MQN and ∠NQO