Angle Sum Property of a Quadrilateral

The sum of the two angles of a quadrilateral is $180°$. If the sum of the remaining two angles is $k°$, what is the value of $k$?

Adjacent side of parallelogram are $8 cm$ and $6 cm$. If the perimeter of quadrilateral is $k cm$, then find the value of $k$.

The three internal angles of a quadrilateral are $80°, 100°,$  and $120°$, if the fourth angle is $k°$, then find the value of $k$.

The sum of the two angles of a quadrilateral are supplementary angles. If the sum of the remaining two angles is $k°$, what is the value of $k$?

If all the angles of the quadrilateral are equal then the measure of each angle is _____$°$.

In a quadrilateral $ABCD, \angle A+\angle C$ is $2$ times $\angle B+\angle D$. If $\angle A=140°$ and $\angle D=60°$, then $\angle B=$?

Two angles of a quadrilateral measure $65°$ and $105°$ respectively. The remaining two angles are equal. Determine the measure of the equal angles.

In the below quadrilateral the value of $x°=$_____$°$.

In the below quadrilateral the value of $x°=$_____$°$.

One angle of a parallelogram is twice of its adjacent angle, if the sum of two opposite angles is $k°$ then find $k$.

If the angles of a quadrilateral are $100°, 62°, 85°$ and $x°$, then the value of $x$ is

The angles of a quadrilateral are $x°,\left(x-20\right)°,\left(x-30\right)° \text{and} 2x°$. The value of $x$ is

The two angles of a quadrilateral are equal to $78°$ and $142°$ and the other two angles are equal. The measure of the equal angles are

If the angles of a quadrilateral are in the ratio $1: 2: 3: 4,$ then the measure of the smallest angle is

In Fig.11.41, $ABCD$ is a quadrilateral in which $\angle ADC=$$100°$, and $\angle BCD$$=110°$ and bisectors of angles $A$ and $B$ meet at $P$. Find $\angle APB$. 

In the given figure, $\mathrm{O}$ is the centre of the circle. Tangents at $\mathrm{A}$ and $\mathrm{B}$ meet at $\mathrm{C}$. If $\angle \mathrm{ACO}=30°$, if $\angle \mathrm{AOB}=k°$, then find the value of $k$.

If the square of any diagonal of a square is $50 \mathrm{cm}$, then _____$\mathrm{cm}$ will be its perimeter.

Interior angles of a quadrilateral are equal. Find the value of each angle.

If one diagonal of a rhombus is equal to its one side, then find out all the internal angle of this rhombus.

Draw a rectangle whose adjacent sides are $5$ cm and $12$ cm respectively. Measure its diagonal and verify it using Pythagoras theorem.