Question

in the given figure find

Answer 1

Part 1 :
P + Q + R = 180
60 + 70 + R = 180
R = 50 = PRQ

Part 2:
PRQ and YRQ makes a linear pair of angles that's why,

PRQ + YRQ = 180
YRQ = 130.

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Answer 2

$\textbf {Hey there, here is the solution.}$

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The exterior angle is equal to the sum of the opposite interior angles

⇒ ∠YRQ = ∠RPQ + PQR

Find ∠YRQ :

∠YRQ = ∠RPQ + PQR

∠YRQ = 60 + 70

∠YRQ = 130°

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Angles on a straight line add up to 180°

⇒ ∠PRQ + ∠YRQ = 180°

Find ∠PRQ :

∠PRQ + ∠YRQ = 180°

∠PRQ + 130 = 180

∠PRQ = 180 - 130

∠PRQ = 50°

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Answer: (a) ∠YRQ = 130° (b) ∠PRQ = 50°

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