Properties of Triangles

In the figure find the values of $x$ and $y$.
 

One of the exterior angle of a triangle is $105°$ and the interior opposite angles are in the ratio $2 : 5$. Find the angles of the triangle.

If an exterior angle of a triangle is $130°$ and the interior opposite angles are $60°$ and $m°$, then find the value of $m$.

The exterior $\angle PRS$ of $△PQR$ is $105°$. If $Q=70°$ , find $\angle P$. Is $\angle PRS>\angle P$?

One of the exterior angles of a triangle is $125°$ and the interior opposite angles are in the ratio $2:3$. Find the angles of the triangle

Find the values of $x$ and $y$ in the following figure.
 

Find the values of $x$ and $y$ in the following figure.

 

Find the values of $x$ and $y$ in the following figure.

Find the values of $x$ and $y$ in the following figure.

Find the values of $x$ and $y$ in the following figure.

Find the values of $x$ and $y$ in the following figure.

In the figure, $\angle BAD=3\angle DBA$. Find $\angle CDB, \angle DBC$ and $\angle ABC$.

In the following figures, find the values of $x$ and $y$.
 

Find the measure of angles $x$ and $y$.

For $△ABC$, find the measure of $\angle ACD$. (Write the answer without degree symbol)

In $△ABC$, name all the interior and exterior angles of the triangle.

In Figure $ABCDE$, find $\angle 1 +\angle 2 +\angle 3 +\angle 4 +\angle 5$.

In the figure, $△PQR$ is right-angled at $Q$, $ML\parallel RQ$ and $\angle LMR=130°$. Find $\angle LPM, \angle PML$ and $\angle PRQ$.

The acute angles of a right triangle are in the ratio $2 : 3$. Find the angles of the triangle.

If the angles of a triangle are in the ratio $1 : 4 : 5$, find the angles.