Jharne De and Ranjana Kumar Solutions for Chapter: Basic Geometrical Concepts, Exercise 1: Exercise

Draw a quadrilateral $\mathrm{P}\mathrm{Q}\mathrm{R}\mathrm{S}$ such that $\mathrm{P}\mathrm{R}$ is one of its diagonals, and $\mathrm{P}\mathrm{Q}$ and $\mathrm{Q}\mathrm{R}$ are adjacent sides of quadrilateral. Name other pairs of adjacent sides and opposite sides of this quadrilateral.

Write the points which lie in the interior of quadrilateral $\mathrm{A}\mathrm{B}\mathrm{C}\mathrm{D}.$

Write the points which lie in the exterior of quadrilateral $\mathrm{A}\mathrm{B}\mathrm{C}\mathrm{D}.$

Write the points which lie on the boundary of quadrilateral $\mathrm{A}\mathrm{B}\mathrm{C}\mathrm{D}.$

In the figure given below, find the measure of $\angle \mathrm{Q}\mathrm{R}\mathrm{S}.$

The angles of a quadrilateral are $100°,70°,120°,$ and $x°.$ Find the value of $x.$

A quadrilateral has all its four angles of the same measure. What is the measure of each angle?

The four angles of a quadrilateral are in the ratio $1:2:3:4.$ Find the angles.