Question

In trianglePQR; $\angle$ P = $\angle$Q = $\angle$ R
Find all the three angles of the triangle.

Answer 1

Since all the angles of the triangle are equal,
Let $\angle$ P = $\angle$ R = $\angle$Q = x
By angle sum property of a triangle,
$\angle$P + $\angle$ R + $\angle$ Q = ${180}^{\circ }$
Or, x + x + x = ${180}^{\circ }$
Or, 3x = ${180}^{\circ }$
Or, $x=\left(\frac{{180}^{\circ }}{3}\right)$
Hence, $\angle$ P = $\angle$ R = $\angle$Q = x = ${60}^{\circ }$