Math, asked by Anonymous, 1 year ago

In figure OA=OD and angle 1 and angle 2 are equal.Prove that triangle OCB is an isosceles triangle.

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Answers

Answered by kvnmurty
14
Your picture is too small. please present bigger pictures in future.

OA = OD, angle 1 = angle 2
Angle COA = angle BOD

two angles and one side are equal between the two triangles AOC and DOB.
Triangles AOC and DOB are similar.

So, CO = BO
So OCB is an isosceles triangle.


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sudiptoghosh1999: Sir, can you explain why Angle COA is equal to Angle BOD
kvnmurty: when two straight lines intersect at a point, the angles included by the two lines at that point, on the same side of a line sum to 180 deg. The opposite angles are equal. this is the reason for angle COA being equal to angle BOD.
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