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Standard VI

Mathematics

Angle Bisector

In the figure...

Question

In the figure, A, B, C are points on a circle with circle O and reflex angle $∠$ AOB $= 260^{o}$ . Find x.

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Solution

Draw a circle of radius $r$
Given, reflex angle $∠ A O B = 260^{o}$
$∠ A O B = 360 - 260 = 100^{o}$
$∠ A O B = 2 ∠ A C B$ (half angle property)
$∠ A C B = \frac{1}{2} ∠ A O B = \frac{100}{2} = 50^{o} x = 50^{o}$

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In the figure, A, B, C are points on a circle with circle O and reflex angle ∠AOB=260o. Find x.

Draw a circle of radius rGiven, reflex angle ∠AOB=260o∠AOB=360−260=100o∠AOB=2∠ACB (half angle property)∠ACB=12∠AOB=1002=50ox=50o

In the figure, A, B, C are points on a circle with circle O and reflex angle $∠$ AOB $= 260^{o}$ . Find x.

Draw a circle of radius $r$
Given, reflex angle $∠ A O B = 260^{o}$
$∠ A O B = 360 - 260 = 100^{o}$
$∠ A O B = 2 ∠ A C B$ (half angle property)
$∠ A C B = \frac{1}{2} ∠ A O B = \frac{100}{2} = 50^{o} x = 50^{o}$