Question

7. Which of the following is true for the given figure where O is the centre of the circle?
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Answer 1

Answer:

where are options give options

Answer 2

Answer:

Open_in_app

Correct option is

C

x

∘

+y

∘

=90

∘

In △OQROR=OQ= radius

⇒∠OQR=∠ORQ=y

o

Thus by angle sum property, we have

∠OQR+∠ORQ+∠QOR=180

o

2∠ORQ+∠QOR=180

o

∠QOR=180−2∠ORQ=180−2x

o

Also, ∠QOR=2∠QPR (half angle property)

180−2x=2y

180=2x+2y

x

o

+y

o

=90

o