S Purkayastha Solutions for Chapter: Understanding Quadrilaterals, Exercise 2: CHECK POINT

A quadrilateral has three acute angles, each of measure $70°$. What is the measure of the fourth angle?

Two adjacent angles of a quadrilateral are of measure $75°$ and other two angles are equal. What is the measure of each of these two angles?

Three angles of a quadrilateral are equal and the fourth angle measures $153°$. What is the measure of equal angles?

The sides of a quadrilateral are produced in order. What is the sum of four exterior angles?

The bisectors of $\angle A$ and $\angle B$ of quad. $ABCD$meet at $O$. If $\angle C=75°$ and $\angle D=85°$, then find the measure of $\angle AOB.$

Find the number of sides of a regular polygon whose exterior angle has a measure of $45°$.

Prove that the sum of all exterior angles formed by producing the sides of a convex polygon in the same order is equal to four right angles.

The exterior angle of a regular polygon is one third of its interior angle. How many sides does the polygon have?