In trianglePQR angleP=2 angleQ and 2 angleR=3 angleQ. calculate the angles of triangle PQR
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Answer:
∠Q=360/9=40°
∠p=2∠Q=2*40=80°
∠R=3/2∠Q=3/2*40=60°
Step-by-step explanation:
∠P=2∠Q
2∠R=3∠Q
∠R=3/2∠Q
∠P+∠Q+∠R=180°
2∠Q+∠Q+3/2∠Q=180°
1/2( 4∠Q+2∠Q+3∠Q)=180°
9∠Q=180*2=360
∠Q=360/9=40°
∠p=2∠Q=2*40=80°
∠R=3/2∠Q=3/2*40=60°
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