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Answer :
Final answer:
In a right trapezoid, we can find an angle and the length of a segment using given information.
Explanation:
The given problem states that ∥MN ∥ QP and MQ ⊥ QP. Given these conditions, we can conclude that MNPQ is a right trapezoid.
For part (a), we are asked to find m∠P. Since m∠MNP - m∠M = 31°, we can determine that m∠P = m∠MNP - 31°.
For part (b), we need to find the length of NR. Using the given information that MN = 6 in., NP = 5 in., and QP = 9 in., we can apply the Pythagorean theorem to find the length of NR.
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