Question

If the vertex angle of an isosceles triangle is ${50}^o$, find the other angles.

Answer 1

Using the property of an isosceles triangle that says in an isosceles triangle two angles of the triangle are equal.

Using theorem, Sum of interior angles of a triangle is ${180}^o$ .

let $\angle A={50}^o$

Hence $\angle A+\angle B+\angle C={180}^o$

$\Rightarrow {50}^o+\angle B+\angle B={180}^o$

$\Rightarrow 2\angle B={180}^o-{50}^o$

$\Rightarrow \angle B=\angle C={65}^o$

$\therefore$ the other two angle are equal to ${50}^o$