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Question

If two sides of a triangle are equal, the angles opposite to these sides are


A

not equal

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B

right angles

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C

equal

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D

supplementary

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Solution

The correct option is C

equal


Draw a △ABC in which AB =AC,

Draw the bisector AD of ∠A, which meets BC, in D.

Since, AB = AC, ∠BAD = ∠CAD, AD = AD

△ABD ≅ △ACD (by SAS criterion)

Then by c.p.c.t ∠B = ∠C.


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