Question

In triangle pqr angle P=2 angle q and 2 angle R=3 angle q,calculate the angles of triangle PQR.​

Answer 1

Answer:

angle P = 80 , angle Q = 40 and angle R = 60

Step-by-step explanation:

P = 2 angle Q

2 = angle R = 3 angle Q

angle R = 3/2 angle Q

angle P + angle Q + angle R = 180

2 angle Q + angle Q + 3/2 angle Q = 180

4 angle Q + 2 angle Q + 3 angle Q by 2 = 180

9 angle Q = 360

angle Q = 360/9 = 40

angle P = 2 × 40 = 80

angle R = 3/2 × 40/20 = 60