Question

In a∆ PQR , if 2 triangle P =3 triangle Q=6 triangle R , find the measure of triangle p triangle Q and triangle R​

Answer 1

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°