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In the figure, 0 is the centre

circle. ZPOQ=50°, then what is the measure

of arc PXQ and arc PYQ?

Question

In the figure, 0 is the centre

circle. ZPOQ=50°, then what is the measure

of arc PXQ and arc PYQ?

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Mathematics
1 month
2021-08-06T07:25:51+00:00
2021-08-06T07:25:51+00:00 2 Answers
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## Answers ( )

Step-by-step explanation:please send the picture of this question.

Answer:100 degree

Step-by-step explanation:We know, that radius is perpendicular to a tangent .

∴ ∠OPR=90

o

⇒ ∠OPQ+∠QPR=90

o

⇒ ∠OPQ+50

o

=90

o

⇒ ∠OPQ=90

o

−50

o

⇒ ∠OPQ=40

o

⇒ OP=OQ [ Radii of a circle ]

⇒ ∠OPQ=∠OQP=40

o

[ Base angles of equal sides are also equal ]

In △POQ,

⇒ ∠OQP+∠POQ+∠OPQ=180

o

[ Sum of angles of a triangle is 180

o

]

⇒ 40

o

+∠POQ+40

o

=180

o

⇒ ∠POQ+80=180

o

⇒ ∠POQ=100

o