Q:

∠MPR is an acute angle and PQ is in the interior of ∠MPR. ∠QPR must beA. Straight B. ObtuseC. RightD.Acute

Accepted Solution

A:
Answer:∠QPR must be an acute angle Step-by-step explanation:Given : ∠MPR is an acute angle and PQ is in the interior of ∠MPR.To Find :∠QPR must be?Solution:Acute Angle : An angle whose measure is less than 90°Since ∠MPR is an acute angleThis means ∠MPR is less than 90°Now PQ is in the interior of ∠MPRSo, referring the attached figure ∠QPR should be less than ∠MPRSo, the measure of ∠QPR should be less than ∠MPR So,  the measure of ∠QPR is also less than 90°So, ∠QPR must be an acute angle So, Option D is correct.