Monicaa Abhijit Solutions for Chapter: Understanding Quadrilaterals, Exercise 9: EXEMPLAR PROBLEMS

Which of the following figures do not satisfy any of the following properties?

All angle are right angles.

Which of the following figures do not satisfy any of the following properties?

Opposite sides are parallel.

Which one has all the properites of a kite and a parallelogram?

A rectangle whose adjacent sides are equal becomes a _____.

If the sum of interior angles is double the sum of the exterior angles taken in an order of a polygon, then it is a hexagon.

Find the measure of an exterior angle of a regular pentagon and an exterior angle of a regular decagon. What is the ratio between these two angles?

$\mathrm{ABCDE}$ is a regular pentagon. The bisector of angle $\mathrm{A}$ meets the side $\mathrm{CD}$ at $\mathrm{M}$. Find $\angle \mathrm{AMC}$.

A line $l$ is parallel to line $m$ and a transversal $p$ intersects them at $\mathrm{X},\mathrm{Y}$ respectively. Bisectors of interior angles at $\mathrm{X}$ and $\mathrm{Y}$ intersent at $\mathrm{P}$ and $\mathrm{Q}$. Is $\mathrm{PXQY}$ a rectangle ? Give reason.