Question

In the figure, PqRS is a cyclic
quadrilateral Find the value of
x​

Answer 1

Answer:

x = 85°

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Answer 2

Answer:

REQUIRED ANSWER:-

Solution:

⇨ In ∆PRS, by using angle sum property, we have

∠PSR + ∠SRP + ∠RPS = 180°

∠PSR + 50° + 35o = 180°

∠PSR = 180° – 85o = 95°

Since PQRS is a cyclic quadrilateral

∴ ∠PSR + ∠PQR = 180°

[∵ opp. ∠s of a cyclic quad. are supplementary]

95° + x = 180°

x = 180° – 95°

x = 85°

Therefore 85°

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