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Q.

Angles ____ to equal sides of an isosceles triangles are equal.

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Detailed Solution

Concept- The angles opposite to equal sides of an isosceles triangles are equal. Create an isosceles triangle with equal sides. The height from the apex bisects the angle at which the split triangles are equal. Therefore, the opposite angles are equal.
Consider the isosceles right triangle ABC drawn.
Question Image

Question Image

In the triangle

, we get

As ad is the bisector of

we get

From the common side we get

By SAS congruence condition we have

Hence, the correct answer is opposite

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