Types of Quadrilaterals

Observe the kite given below and answer the following question:

If $\angle KJM=130°$, then find the value of $\angle KLM$.

Observe the kite given below and answer the following question:

If $\angle KJM=120°$, then find the value of $\angle KLM$.

Observe the kite given below and answer the following question:

If $CD=13$ units, and $AB=7$ units, what is the measure of $AC$?

What is a Kite shaped quadrilateral? Observe the kite given below and answer the following question:

If $CD=13$ units, what is the measure of $BD$?

What is a Kite shaped quadrilateral? Observe the kite given below and answer the following question:

If $AB=7$ units, what is the measure of $AC$?

$ONKA$ is a square with $\angle KON = 45°$. If $\angle KOA=k°$ then find $k$.

In the adjoining figure, $\mathrm{ABCD}$ is a trapezium in which $\mathrm{AB}\parallel \mathrm{DC}$. If $\angle \mathrm{A}=55°$ and $\angle \mathrm{B}=70°$, If $\angle \mathrm{D}-\angle \mathrm{C}=k°$, then find the value of $k$.

$AB$ and $BC$ are two of the eight sides of a regular octagon. An isosceles triangle $ABP$, in which $AP=BP$, is drawn on $AB$, such that the $∆ABP$ and the octagon are on opposite sides of $AB$. If $\angle ABP=72°$ , calculate $\angle PBC$.

Two angles of a convex polygon are right angles and each of other is $120°$. How many sides has the polygon?

Three of the exterior angles of a hexagon are $40°, 51°, 86°$ each. If each of the remaining exterior angle is $x$, calculate the value of $x$ 

One angle of a pentagon is $140°$. If the remaining angles are in the ratio $1:2:3:4$, calculate the measure of the greatest angle. 

The exterior angle of a regular polygon is$\frac{1}{3}rd$ of its interior angle. Find the number of sides of the polygon. 

The angles of a pentagon are $x°, (x-10)°, (x+20)°, (2x-44)°$ and $\left(2x-70\right)°.$ Calculate $x$

Find the number of sides of a regular polygon if each of its exterior angles is $36°$

Find the number of sides of a regular polygon, if each of its interior angles is $135°$.

Two alternate sides of a regular polygon, when produced, meet at right angle. Find  the number of sides in the polygon.

The difference between an interior angle of$(n-1)$ sided regular polygon and an interior angle of  $(n + 1)$  sided regular polygon is $9°$, find the value of $n$.

Find the number of the sides of a polygon whose number of diagonals is $54.$

Find the number of the sides of a polygon whose number of diagonals is $20$.

Find the number of the sides of a polygon whose number of diagonals is 90.