Exterior Angle of a Triangle and Its Property

An exterior angle of a triangle is of measure $80°$ and one of its interior opposite angles is of measure $30°$. Find the measure of the other interior opposite angle. 

An exterior angle of a triangle is of measure $70°$ and one of its interior opposite angles is of measure $25°$. Find the measure of the other interior opposite angle. 

Find the value of $x°, y°$ and $z°$

What can you say about the sum of an exterior angle of a triangle and its adjacent interior angle?

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.

$P$ is any point inside the $△ABC.$Prove that  $\angle BPC>\angle BAC$

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 $\angle \mathrm{ABD}$.

What is the value of x in the below triangle?

The value of x = _____degrees.

What is the value of x in the below triangle?


The value of x = _____degree.

What is the value of x in the given below figure?


The value of x = _____degrees.

What is the value of x in the triangle ABC?

  $x$ = _____ degrees.

In the triangle ABC, sides BC, CA, and AB are extended to point D, E, and F so that $\angle$BAE, $\angle$ACD, $\angle$CBF are exterior angles.
What is the sum of the exterior angles?

The sum of the exterior angles = _____degrees.

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.