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Step-by-step explanation:
Given: Isosceles triangleABC
AB=AC
To prove: angleB = angleC
Construction: Draw a bisector angle A intersecting BC at D
Proof
In triangle BAD and CAD
- AB=AC (Given)
- Angle BAD= Angle CAD. ( by construction)
- AD=AD. (Common)
- Triangle BAD congruent to Triangle CAD. (by SAS Rule)
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