∠A = 90° , ∠B = ∠C , ∠B = ? , ∠C = ?
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Answer:
angle B is equal to 45 and angle C is equal to 45
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Step-by-step explanation:
AB=AC
[Given ]
∠A=90°
∴ ∠C=∠B
[ Angles opposite to equal sides are equal ] ---- ( 1 )
In △ABC,
∠A+∠B+∠C=180°
[ Angles sum property of triangles ]
⇒ 90° +∠B+∠C=180°
⇒ 90 ° +∠B+∠B=180°
[ From ( 1 ) ]
⇒ 2∠B=90°
⇒ ∠B=45°
∴ ∠B=∠C=45°(Ans).
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