O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Exercise 2: Exercise

In a $△\mathrm{ABC}, \mathrm{AD}$ bisects $\angle \mathrm{BAC}$ and $\mathrm{AD}=\mathrm{DC}$. If $\angle \mathrm{BDA}=70°$, calculate $\angle \mathrm{ACD}$ and $\angle \mathrm{ABD}$.

What are the measures of the angles of an isosceles triangle in which each of the base angle is double the vertical angle.

What are the measures of the angles of an isosceles triangle in which each of the base angle is thrice the vertical angle.

Find the lettered angle in the below figure:

Find the lettered angle in the following figure:

Find the lettered angle in the following figure:

$O$ is the centre of the circular arc $ABC$. Find the angles of $△ABC$.

If the bisector of the vertical angle of a triangle bisects the base also, the triangle is isosceles.