Angles of a Triangle

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

State and prove exterior angle theorem.

Find the angles of a triangle whose second angle exceeds the first angle by $15°$ and the third angle is $66°$ more than the second angle.

Find the missing interior angles of the following diagram.

Find the missing angles in the diagram below.

State and prove angle sum property of triangle.

Find the value of $x°, y°$ and $z°$

Sum of the angles of a triangle is _____.

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

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

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.