Question

In the given figure, if quadrilateral PQRS
circumscribes a circle, then the measures of
angles x and y are
Q
959
[1 mark]
A
x = 100°, y = 85°
B
x = 100°, y = 90°
C
x = 950, y = 95°
D
x = 85°, y = 100°​

Answer 1

Answer:

Opposite angles of a cyclic quadrailateral are supplementary.

∴3x+x=180

∘

and2y+y=180

∘

⇒4x=180

∘

and3y=180

∘

⇒x=45

∘

andy=60

∘

∴∠P=3×45

∘

=135

∘

and∠Q=60

Answer 2

Answer:

answer is A

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