Question

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

Answer 1

$\huge \sf \color{Blue}\underline{\underline{Question}}$

ABC is right angled triangle in which ∠A=90 , AB=AC find ∠B and ∠C .

$\huge \sf \color{Blue}\underline{\underline{Answer :}}$

∠B =∠C = 45°

$\huge \sf \color{Blue}\underline{\underline{Solution :}}$

$\large \sf \color{Green}\underline{\underline{Given:}}$

∠A= 90°

AC=AB

Hence, ∠B =∠C ( Opposite side are equal)

we know that ,

$\sf \color{red} \sf{\boxed{Sum\ of \ 3\ sides \ of \triangle =180°}}$

∠A+∠B+∠C =180°

∠B =∠C ( Opposite side are equal)(AC=AB)

➩∠A+∠B+∠B =180° (∠B =∠C )

➩90° + 2∠B =180°

➩2∠B= 90°

➩∠B = 45°

∠C = 45° ( ∠B =∠C )