Abhishek Chauhan and Vivek Singhal Solutions for Chapter: Understanding Quadrilaterals, Exercise 3: Topic Exercise 3.3

If four angles of a quadrilateral are $2:5:6:7$ then find the angles of the quadrilateral.

In the adjacent figure, bisectors of $\angle P$ and $\angle Q$ meet at a point $M$. If $\angle R=110°$ and $\angle S=60°$, then find the measure of $\angle PMQ$.

In a quadrilateral $ABCD$, $CO$ and $DO$ are the bisector of $\angle C$ and $\angle D$ respectively. Prove that $\angle COD=\frac{1}{2}\left(\angle A+\angle B\right)$.

If $PQRS$ is a quadrilateral where $PQ\parallel SR, PS\parallel QR$ and $PQ=SR, PS=QR$. Find the values of $x, y$ and $z$.

In the following figure, find the value of $x$.

Two angles of a quadrilateral are of measure $72°, 98°$ and other two angles are of equal measures. Find the other two angles of the quadrilateral. If the measure of each angle is $k°$, find the value of $k$.

In the following figure, if the measure of $\angle ABC$ is $k°$, find the value of $k$.

If the following figure is parallelogram, find the value of $x, y$ and $z$.