Triangles

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

Find the value of $x°, y°$ and $z°$

If the angles of a triangle are $60°$ and $30°$. It is a/an _____-angled triangle.  

A triangle with one angle more than $90°$ is called an_____-angled triangle.

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

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

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

In a triangle $\mathrm{ABC}$, $\angle$$\mathrm{A}$$=60°$, $\angle$$\mathrm{B}=80°$ and the bisector of $\angle \mathrm{B}$ and $\angle \mathrm{C}$ meet at $\mathrm{O}$. Find $\angle \mathrm{BOC}$

 

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.

$D$ is a point on the side $BC$ of $△ABC. A$ line $PDQ$through $D$, meets side $AC$ in $P$ and $AB$ produced at Q. If $\angle A=80°$, $\angle ABC=60°$ and $\angle PDC=15°$, find $\angle AQD$
   

$ABC$ is a triangle in which $\angle B=\angle C$ and ray $AX$ bisects the exterior angle $DAC$. If $\angle DAX=70°$. If $\angle ACB=a°$, find the value of $a$.