# in the figure,if OA=OD AND ANGLE1=ANGLE2.Prove that triangle OCB is an isosceles triangle.

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by nishavini

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by nishavini

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The Brainliest Answer!

As Angle 1 = angle 2

Then, 180 - angle 1 = 180 - angle 2

therefore,

Now in Triangle OAC and ODB, we have:-

angle OAC = angle ODB (from i)

OA = OD (Given)

angle COA = angle BOD (Vertically Opposite angles)

So, Triangle OAC congruent to traingle ODB by ASA criterion of congruency

So, By C.P.C.T we get:-

Therefore, Triangle OCB is an isosceles triangle.