Question

prove that angles opposite to equal sides of an isosceles​

Answer 1

Answer:

Here we will prove that in an isosceles triangle, the angles opposite to the equal sides are equal. Given: In the isosceles ∆XYZ, XY = XZ.

Answer 2

Answer:

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Step-by-step explanation: in an isosceles triangle ABC ie AB =AC

TO PROVE -  angle B =angleC

construction draw a bisector of triangle ABC

proof = in triangle BAD and triangle CAD

        AB=AC(GIVEN)

       ANGLE BAD=ANGLE CAD (BY CONSTRUCTION )

       AD=AD (COMMON )

      THUS' ANGLE  ABD=ANGLE ACD

        ANGLE B=ANGLE C

AS all the angles opposite to equal sides are equal

hence verified