Q. 14.3( 12 Votes )

In Fig. 16.120, O is the centre of the circle. If APB=50°, find AOB and OAB.

Answer :

APB = 50o (Given)

By degree measure theorem,


APB = 2 * 50

= 100o


OA = OB (Radii)


OAB = OBA (Angle opposite to equal sides are equal)


OAB = x

In Triangle OAB,

OAB + OBA + AOB = 180o

x + x + 100o = 180o

2x = 80o

x = 40o

OAB = OBA = 40o

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