Question

The interior angles ∠P, ∠Q, and ∠R of △PQR are in the ratio 2:5:3. Find the ratio of the exterior angles at P, Q, and R.

Answer 1

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∠p = 22.5° , ∠q = 45° , ∠r = 112.5°  if the angle of a triangle pqr are in the ratio 1:2:5

Step-by-step explanation:

the angle of a triangle pqr are in the ratio 1:2:5

Let say Angle p  = A

then Angle q = 2A

& Angle r = 5A

Sum of angles of a triangle = 180°

∠p + ∠q + ∠r = 180°

=> A + 2A + 5A = 180°

=> 8A = 180°

=> A = 22.5°

2A = 45°    & 5A = 112.5°

∠p = 22.5°

∠q = 45°

∠r = 112.5°

Learn more:

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https://brainly.in/question/11956551

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Answer 2

Answer:

Step-by-step explanation:

2x + 5x + 3x = 180

10x = 180

180 / 10 = x

18 = x

2x = 36

5x = 90

3x = 54.

exterior = 180 - 36

= 144

180 - 90

= 90

180 - 54

= 126