Question

angles opposite to equal side of an isoceles triangle are _____ in measure​

Answer 1

Answer:

equal

Step-by-step explanation:

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Answer 2

Answer :-

Angles opposite to equal side of an isosceles triangle are equal in measure .

Explanation :-

Let take the triangle XYZ

Given :-

In isosceles triangle opposite sides are equal.

To prove :-

Angle XYZ = Angle XZY

Construction:-

Draw a line XM such that it bisects AngleYXZ and meets the side YZ at M

Proof :-

In AngleXYM and AngleXZM

XY = XZ ( Given)

XM = XM ( Common)

AngleYXM = AngleZXM ( XM bisects AngleYXZ)

AngleXYM Congruence to AngleXZM ( By SAS criteria)

Therefore,

AngleXYZ = AngleXZY