R. D. Sharma Solutions for Chapter: Triangle and its Angles, Exercise 3: VERY SHORT ANSWER TYPE QUESTIONS (VSAQs)

If the angles of a triangle are in the ratio $2:1:3,$ then find the measure of the smallest angle in degrees.

The sum of two angles of a triangle is equal to its third angle. Determine the measure of the third angle.

In the following figure, if $AB\parallel CD, EF\parallel BC, \angle BAC=65°$ and $\angle DHF=35°,$ find $\angle AGH$.

If the angles $\angle A, \angle B$ and$\angle C$ of $△ABC$ satisfy the relation $\angle B-\angle A=\angle C-\angle B$, then find the measure of $\angle B$.

In $△ABC$, if bisectors of $\angle ABC$ and $\angle ACB$  intersect at $O$ at angle of $120°$, then find the measure of $\angle A$ in degrees.

If the side $BC$ of $△ABC$ is produced on both sides, then write the difference between the sum of the exterior angles so formed and $\angle A$.

In a triangle $ABC,$ if $AB=AC$ and $AB$ is produced to $D$ such that $BD=BC$, find $\angle ACD:\angle ADC$.

In the following figure, side $BC$ of $△ABC$ is produced to point $D$ such that bisectors of $\angle ABC$ and $\angle ACD$ meet at a point $E .$ If $\angle BAC=68°,$ find $\angle BEC$ in degrees.