Question

In circle with centre O angle QPR is equal to 70. measure of arc PYR is equal to 160. find measure of angle PQR, QOR & measure of arcQXR
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Answer 1

Answer:

Given,

∠QPR =70°

m(arc PYR)= 160

∠ =

12 m(arc PYR)

Now,

m(arc QXR)

∠QPR = 1/2 m( arc QXR)

70 = 1/2 m( arc QXR)

∴m( arc QXR) =140°

Now,

∠QOR

using the properties of triangle, we have,

∠QOR = 2∠QPR

=2 x 70

= 140°

Now,

∠ PQR =

12 m(arc PXR) ...[inscribed angle theorem]

∠ PQR =

12×160

∠ PQR = 80°

Answer 2

Answer:

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