in a right angled triangle where angle A=90 degree and AB=AC what is the value of angle B
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♻️ QUESTION ♻️
in a right angled triangle where angle A=90 degree and AB=AC what is the value of angle B?
♻️ANSWER♻️
∠45°
♻️ SOLUTION ♻️
♻️GIVEN♻️
∠A=90°
AB=AC
According to Questions:
AB=BC
⇒ ∠B = ∠C (Angles opposite to the equal sides are equal.)
Now,
∠A + ∠B + ∠C = 180° (Sum of the interior angles of the triangle.)
90°+2 ∠B=180°
2 ∠B=90°
∠B=90°/2
∠B=45°
✏️ ∠B= ∠C=45°✏️
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