Question

In a triangle PQR, if 2 <P = 3 <R = 6 <R, find the measure of all the angles.

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Answer 1

Answer:

2∠P=3∠Q 3∠Q=6∠R

∠P=3/2∠Q(1) ∠R=1/2∠Q (2)

By angle sum property in triangle PQR

∠P+∠Q+∠R=180°

3/2∠Q+∠Q+1/2∠Q=180° (FROM 1 AND 2)

6∠Q/2=180°

3∠Q=180°

∠Q=60°

∠P=3/2×60°=90° ∠Q=60°

∠R=1/2×60=30°

Step-by-step explanation:

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