Asked by kyle smith uwu
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
∠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
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
Answers
There are no human answers yet.
Answered by
GPT-4o mini
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
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
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