Question

In ΔPQR ∠P=2 ∠Q and 2 ∠R=3 ∠Q , calculate the angles of ΔPQR.

Answer 1

180 degree will be the answer

Answer 2

Answer:

∠P= 80°

∠Q = 40°

∠ R = 60°

Step-by-step explanation:

In ΔPQR

∠P + ∠Q  + ∠ R = 180°

putting ∠P=2 ∠Q

=> 2 ∠Q + ∠Q  + ∠ R = 180°

=> 3∠Q  + ∠ R = 180°

putting 3 ∠Q = 2 ∠R

=> 2 ∠R  + ∠ R = 180°

=> 3∠ R = 180°

=> ∠ R = 60°

2 ∠R=3 ∠Q

=> 2 * 60° = 3∠Q

=> ∠Q = 40°

∠P=2 ∠Q

=> ∠P= 2 * 40°

=> ∠P= 80°