Question

In an isosceles triangle, the measure of the greatest angle is ${96}^{\circ }.$ Find the measure of each of the equal angles.

Answer 1

According to question $x+x+{96}^{\circ }={180}^{\circ }$ (by angle sum property of a triangle)
$\Rightarrow 2x+{96}^{\circ }={180}^{\circ }$
$\Rightarrow 2x={84}^{\circ }$
$\Rightarrow x={42}^{\circ }$
Measures of each equal angles of an isosceles triangle is ${42}^{\circ }$.