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 $k$?

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 $x°=$_____$°$.

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

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

Aslam has five measurements of a quadrilateral $ABCD$. These are $AB=5 \mathrm{cm},\angle A=50°,AC=4 \mathrm{cm},BD=5 \mathrm{cm}$ and $AD = 6 \mathrm{cm}$. Can he construct a unique quadrilateral? Give reasons for your answer.

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 $k$.

$A, B, C$ and $D$, are points on a circle. Given that $\angle DAB=56°$ and $AC$ is a diameter, find $\angle BCD$.

One angle of a parallelogram is five times the adjacent angle. Find the angles of the parallelogram.

Sum of all the four angles in a quadrilateral is $360°$.

In a quadrilateral $MORE$, if $\angle M=120°, \angle R=30°$ and $\angle O=150°$, then $\angle E=$_____$°$.

Solve the given crossword puzzle and then fill up the given boxes.

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The sum of the _____ angles of a quadrilateral is $360°$.

The measures of three angles of a quadrilateral measure $100°, 68°$ and $82°$. If the measure of the fourth angle is $k°$, then find the value of $k$.

In given figure, if $TP$ and $TQ$ are two tangents to a circle with centre $O$, so that $\angle POQ=140°$, and $\angle PTQ=k°$, then find the value of $k$.

The sum of the interior angles of a quadrilateral is $350°.$

The four angles of the quadrilateral are equal .FInd the measure of each angle.