question
in $ \triangle opq, pq = 10, qo = 4 $, and $ op = 11 $. which statement about the angles of $ \triangle opq $ must be
answer
true?
$ m \angle q m \angle p m \angle o $
$ m \angle p m \angle q m \angle o $
$ m \angle o m \angle p m \angle q $
$ m \angle q m \angle o m \angle p $
$ m \angle p m \angle o m \angle q $
$ m \angle o m \angle q m \angle p $
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Question

question
in $ \triangle opq, pq = 10, qo = 4 $, and $ op = 11 $. which statement about the angles of $ \triangle opq $ must be
answer
true?
$ m \angle q > m \angle p > m \angle o $
$ m \angle p > m \angle q > m \angle o $
$ m \angle o > m \angle p > m \angle q $
$ m \angle q > m \angle o > m \angle p $
$ m \angle p > m \angle o > m \angle q $
$ m \angle o > m \angle q > m \angle p $
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Accepted Answer

# Explanation:
## Step1: Apply the triangle side - angle relationship
In a triangle, the larger side is opposite the larger angle.
In $\triangle OPQ$, we have $OP = 11$, $PQ=10$, and $QO = 4$.
Since $OP>PQ>QO$

## Step2: Determine the angle order
The angle opposite $OP$ is $\angle Q$, the angle opposite $PQ$ is $\angle O$, and the angle opposite $QO$ is $\angle P$.
By the side - angle relationship (larger side $\to$ larger angle), we get $m\angle Q>m\angle O>m\angle P$

# Answer:
$m\angle Q > m\angle O > m\angle P$

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QUESTION IMAGE

Question

Explanation:

Step1: Apply the triangle side - angle relationship

Step2: Determine the angle order

Answer: