In the given triangle PQR, find the angles ∠PRQ and ∠PQR."

Given: In the triangle PQR,  ∠QRS = 125°; ∠QPR = 65°

To find:  We have to find ∠PRQ and  ∠PQR.

Solution:

∠PRQ and ∠QRS form a linear pair as they are interior and exterior angle R

∠PRQ + ∠QRS = 180°

∠PRQ + 125° = 180°; So ∠PRQ  = 180° -  125° = 55°

As per angle sum property of triangle PQR.

∠PRQ + ∠PQR + ∠QPR = 180°;  55° + ∠PQR + 65° = 180°; 

∠PQR = 180° - 120° = 60°

So ∠PRQ  = 55° and ∠PQR = 60° 

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Updated on: 10-Oct-2022

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