S K Gupta and Anubhuti Gangal Solutions for Chapter: Understanding Shapes, Exercise 1: Exercise 14

The three angles of a quadrilateral are $65°, 55°$ and $130°$. Find its fourth angle.

The two adjacent angles of a quadrilateral are $75°$ and $125°$. The other two angles are equal. Find the measure of each of these equal angles.

A quadrilateral has all four angles of the same measure, what is the measure of each angle?

$\mathrm{ABCD}$ is a quadrilateral. $\mathrm{AO}$ and $\mathrm{BO}$ are the angle bisectors of angle $\mathrm{A}$ and $\mathrm{B}$ which meet at $\mathrm{O}$. If $\angle \mathrm{C}=70°,\angle \mathrm{D}=50°$, find $\angle \mathrm{AOB}$.

The fourth angle of the quadrilateral that has three acute angles is

The value of $y°$ in the given figure is

What is the value of $a$?

Find the values of x, y and z in the diagram. Give reasons wherever necessary.