Question

In an isosceles triangle, the base angles are equal and the vertex angle is ${100}^o$. Find the measure of the base angle.

Answer 1

Let us assume Base angle = x

Since both base angles are equal

sum of 3 angles = ${180}^{\circ }$

$2x+100={180}^{\circ }$

$2x={80}^{\circ }$

$x={40}^{\circ }$

$\therefore$ Base angles are equal to ${40}^{\circ }$