Each interior angle of a polygon is $135°$. How many sides does it have?

For a convex polygon of $n$ sides, find the um of all exterior angles, the sum of all interior angles and the number of diagonals.

For a convex polygon of $n$ sides, find the um of all exterior angles and the sum of all interior angles.

Fill in the blanks.

i. Each interior angles of a regular octagon is $\left(......\right)°$.

ii. The sum of all interior angle of a regular hexagon is $\left(.....\right)°$.

iii. Each exterior angle of a regular polygon is $60°$. This polygon is a ...... .

iv. Each interior angle of a regular polygon is 108°. This polygon is a ...... .

v. A pentagon has ...... diagonals.

Write ‘T’ for true and ‘F’ for false of each of the following:

i. The diagonals of a parallelogram are equal.

ii. The diagonals of a rectangle are perpendicular to each other.

iii. The diagonals of a rhombus bisect each other at right angles.

iv. Every rhombus is a kite.

Construct a quadrilateral $PQRS$ in which $PQ=4.2 \mathrm{cm}, \angle PQR=60°, \angle QPS=120°, QR=5 \mathrm{cm}$ and $PS=6 \mathrm{cm}$.