Alka Tuli and Rajesh Hassija Solutions for Chapter: Properties of Triangles, Exercise 4: Exercise

Find the measure of $x$ in the figure.

Find the measure of $x$ and $y$ in the figure.

In $\mathrm{\Delta }PQR$, measure of $\angle P=80°$ and $\angle Q=65°.$ Find the measure of the exterior angle at vertex $R$.

$\angle BCD$ is an exterior angle of $\mathrm{\Delta }ABC.$ If $\angle BCD=3x°, \angle A=x°$ and $\angle B=80°,$ find the value of $x.$

In a triangle, the exterior angle is twice of each of the interior opposite angles. The exterior angle is $120°$. Find the measure of the three angles of the triangle.

In a triangle, the measure of an exterior angle at one of the vertices is $100°$ and the two interior opposite angles are equal to each other. Find the measure of two interior opposite angles.