Question

If one of the angles of triangle is ${50}^{\circ }$ and the other two angle are equal, find the measure of each of equal angles

Answer 1

Consider the given question,

${\theta }_1={50}^{\circ },$ and other two angles are same, ${\theta }_2={\theta }_3$

We know that in a triangle,

${\theta }_1+{\theta }_2+{\theta }_3={180}^{\circ }$

$\Rightarrow {50}^{\circ }+{\theta }_2+{\theta }_2={180}^{\circ }$

$\Rightarrow {\theta }_2={\frac{130}{2}}^{\circ }$

$\Rightarrow {\theta }_2={65}^{\circ }$

Because ${\theta }_2={\theta }_3$

${\theta }_3={65}^{\circ }$

Hence, the value of angle is ${\theta }_2={\theta }_3={65}^{\circ }$