Exterior Angle of a Triangle and Its Property

The exterior angle of a triangle is equal to sum of two interior _____ angles.

An exterior angle of a triangle is $110°$ and one of the interior opposite angle is $30°$. Then the other interior angle is $K\times 40°$. Find$K$.

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$PQ II RS$. Find the value of $x$ in degrees.

In the given figure, $\mathrm{QAP}$ is the tangent at point $\mathrm{A}$ and $\mathrm{PBD}$ is a straight line. If $\angle \mathrm{ACB}=36º$ and $\angle \mathrm{APB}=42º,$ find $\angle \mathrm{QAD}$.

In the given figure, $\mathrm{QAP}$ is the tangent at point $\mathrm{A}$ and $\mathrm{PBD}$ is a straight line. If $\angle \mathrm{ACB}=36º$ and $\angle \mathrm{APB}=42º,$ find $\angle \mathrm{ABD}$.

Find the angles indicated by $\mathrm{x},\mathrm{y}$ and $\mathrm{z}$. Give a reason for each step in your calculations.

In the given figure, if $x=k°$ then, find the value of $k$.

By how much is $\angle \mathrm{a}$ bigger than $\angle \mathrm{b}$ in the given figure.

The sides of a triangle are produced in order. The sum of the three exterior angles so formed is :-

Find $\mathrm{x}$ in the figure shown along side.

In figure if $x°, y°$ and $z°$ are exterior angle of $△ABC$, then $x°+y°+z°$ is

Find the value of $a+b$, if $b=2a$.

Triangle $ABC$ is isosceles with $AB=AC$. The measure of angle $BAD$ is $30°$ and $AD=AE$. The measure of angle $EDC$, is

In the diagram $AMN, QRM$ and $PRN$ are all straight lines. The value of $\alpha +\beta$ is: