Question

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

Answer 1

Answer:

∠B = ∠C = 45°

Step-by-step explanation:

ΔABC is right angled at A

so,

∠A +∠B+∠C = 180° (angle sum property)

given, AB=AC,

∠B = ∠C (angles in a triangle opposite to equal sides are also equal)

∠A + 2∠C = 180°

2∠C = 90°

∠C = 45°

∠B + ∠C = 90°

∠B = 45°

Answer 2

$\huge\mathfrak\purple{Answer!}$

$\small\bold{ }$

Given, AB=AC

$\large\implies$ ∆ABC is isosceles

$\large\implies$ ∠B=∠C=x { I.T.P }

Also given, ∠A=90°

$\large\implies$ x + x + 90° = 180°

$\large\implies$ 2x + 90° = 180°

$\large\implies$ 2x = $\large\bold{{\frac{180}{90}}}$

$\large\implies$ 2x = 90°

$\large\implies$ x = $\large\bold{{\frac{90}{2}}}$

$\large\implies$ x = 45°

$\small\bold{ }$

$\large\implies$ ∠B=∠C=x

$\large\implies$ ∠B=∠C= 45°

$\small\bold{ }$

$\large\bold{{\underline{\underline{Be~Brainly}}}}$

$\huge\bold\purple{Brainliest~Please!}$