Asked by what_she _did _it_again
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
∠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
∠MQL and ∠LQP
angle upper M upper Q upper L and angle upper L upper Q upper P
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
∠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
∠MQL and ∠LQP
angle upper M upper Q upper L and angle upper L upper Q upper P
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the complementary angles among the options given, we need to identify pairs of angles that add up to 90 degrees.
From the information provided:
- We know that angle ∠NQO is a right angle, which means it measures 90 degrees.
- We also know that angle ∠PQO measures 50 degrees.
To find complementary angles, we look for angles that, when added together, equal 90 degrees:
1. **∠MQN and ∠NQO** - No, this does not apply since NQO is already 90 degrees.
2. **∠LQP and ∠PQO** - We don't have enough information about ∠LQP to determine if these are complementary since ∠PQO is known (50 degrees).
3. **∠LQM and ∠MQN** - We don't know the measures of these angles.
4. **∠MQL and ∠LQP** - Similar to above, we do not know these angle measures to determine if they are complementary.
However, the combination of ∠PQO (which is 50 degrees) and the remaining part of angle ∠NQO (which we know is 90 degrees) would mean we can find the measure of ∠LQP (which must be 40 degrees) to satisfy the 90 degrees requirement with ∠PQO.
Thus, the complementary angle pair can logically be:
**∠LQP and ∠PQO** since:
- 40 degrees (LQP) + 50 degrees (PQO) = 90 degrees.
Considering all information, the answer is:
**∠LQP and ∠PQO**.
From the information provided:
- We know that angle ∠NQO is a right angle, which means it measures 90 degrees.
- We also know that angle ∠PQO measures 50 degrees.
To find complementary angles, we look for angles that, when added together, equal 90 degrees:
1. **∠MQN and ∠NQO** - No, this does not apply since NQO is already 90 degrees.
2. **∠LQP and ∠PQO** - We don't have enough information about ∠LQP to determine if these are complementary since ∠PQO is known (50 degrees).
3. **∠LQM and ∠MQN** - We don't know the measures of these angles.
4. **∠MQL and ∠LQP** - Similar to above, we do not know these angle measures to determine if they are complementary.
However, the combination of ∠PQO (which is 50 degrees) and the remaining part of angle ∠NQO (which we know is 90 degrees) would mean we can find the measure of ∠LQP (which must be 40 degrees) to satisfy the 90 degrees requirement with ∠PQO.
Thus, the complementary angle pair can logically be:
**∠LQP and ∠PQO** since:
- 40 degrees (LQP) + 50 degrees (PQO) = 90 degrees.
Considering all information, the answer is:
**∠LQP and ∠PQO**.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.