Question

triangle PQR angle P, angle Q=2angle p. calculate the angles of triqngle PQR.​

Answer 1

Answer:

Given

∠P=2∠Q    (1) and

∠R=23​∠Q (2)

Also sum of angles of a triangle is 180 degree.

From equation (1) and (2):

⟹∠P+∠Q+∠R=180 degree

⟹2∠Q+(3/2)∠Q+∠Q=180 degree

⟹∠Q=9180 degree × 2​=40 degree

So ∠P=2(40 degree)=80 degree and ∠R=(3/2)20 degree = 60 degree.

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Answer 2

Answer:

∠P = 36

∠Q = 72

∠R= 72

Step-by-step explanation:

∠Q = 2∠P = ∠R

∠P + ∠Q + ∠R = 180

∠P + 2∠P + ∠2P  = 180

5∠P = 180

∠P = 180/5

∠P = 36

∠Q = 2∠P = ∠R

∠Q = 2× 36= 72

∠R= 72