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Question

ABC is a right-angled triangle in which A=90°° and AB=AC. Find ∠B and C.


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Solution

Finding the ∠B and C:

Given :

A=90° and

AB=AC
B=C (Angles opposite to the equal sides)
We know that

A+B+C=180° (Since the sum of the interior angles of the triangle equal to 180°)
A+B+B=180°90°+2B=180°2B=180°-90°B=90°2B=45°

Therefore the value of B=C=45°


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