S.N. Chhibber Solutions for Chapter: Properties of Quadrilaterals, Exercise 1: Exercise

If the angles of a quadrilateral are $4x$, $3x+10°$, $2x+10°$ and $4x+15°$ then find the angles.

If the angles of a quadrilateral are in ratio $5:4:3:6$, then find the angles.

Two angles of a quadrilateral are $65°$ and $55°$. If the measures of other two angles are in the ratio $5:7$, then find the measure of each angle.

A quadrilateral has three internal angles equal to $75°$. If the measure of the fourth interior angle is $x°$, then find the value of $x$.

$ABCD$ is a quadrilateral in which the bisectors of $\angle B$ and $\angle C$ meet at $O$. If $\mathrm{\angle }A=100°$ and $\angle D=70°$ find the measure of $\angle BOC$.

In the adjacent figure, $DO$ and $CO$ are the bisectors of $\angle D$ and $\angle C$, respectively. Find $\angle DOC$ and $\angle A$.

If the measure of each of the angles of the quadrilateral is $k°$, whose each pair of adjacent angles are equal. Find the value of $k$.

Find the measure of each of the angles of the quadrilateral whose each pair of adjacent angles are equal and one side is $90°$.

If the angle is $k°$, then find $k$.