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:

Explanation:

For angle QPR=70, m(arc PYR) =160,

m(arc QXR) = 140, angle QOR=140, angle PQR = 80.

Given,

∠QPR =70°

m(arc PYR)= 160

formula,

∠ = 1/2 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*70

=140°

Now,

∠PQR

∠PQR = 1/2 m(arc PYR)

=1/2 * 160

=80