Monicaa Abhijit Solutions for Chapter: Understanding Quadrilaterals, Exercise 8: SOME NCERT TEXTBOOK QUESTIONS

How many sides does a regular polygon have if each of its interior angles is $165°$ ?

What is minimum interior angle possible for a regular polygon? Why?

What is the maximum exterior angle possible for a regular polygon?

Can a quadrilateral $\mathrm{ABCD}$ be a parallelogram if $\angle \mathrm{D}+\angle \mathrm{B}=180°$?

Can a quadrilateral $\mathrm{ABCD}$ be a parallelogram if $\mathrm{AB}=\mathrm{CD}=8 \mathrm{cm}$, $\mathrm{AD}=4 \mathrm{cm}$ and $\mathrm{BC}=4.4 \mathrm{cm}$ ?

Can a quadrilateral $\mathrm{ABCD}$ be a parallelogram if $\angle \mathrm{A}=70°$ and $\angle \mathrm{C}=65°$?

The adjacent figure $\mathrm{HOPE}$ is a parallelogram. Find the angle measures $x,y$ and $z$. State the properties you use to find them.

$\mathrm{ABC}$ is a right - angled triangle and $\mathrm{O}$ is the mid point of the side opposite to the right angle. Explain why $\mathrm{O}$ is euqidistant from $\mathrm{A},\mathrm{B}$ and $\mathrm{C}$. (The dotted lines are drawn additionally to help you).