Question

PQRS is a cyclic quadrilateral in which < P = 45° and < Q = 100°. What is the

measure of the remaining two angles?​

Answer 1

Answer

Here, PQRS is a cyclic quadrilateral.

We know, opposite angles of a cyclic quadrailateral are supplementary.

∴3x+x=180

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and 2y+y=180

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⇒4x=180

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and 3y=180

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⇒x=45

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and y=60

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.

∴∠P=3x=3×45

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=135

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and ∠Q=y=60

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.