Dr. Sanjeev Verma and R.K. Tyagi Solutions for Chapter: Properties of Triangles, Exercise 1: ASSIGNMENT 7.1

In the figure, $AB\parallel CD$ and $AD, BC$ are the transversals. The measure of $\angle AOB$ is

In the adjoining figure, if $AB\parallel CD, \angle A=50°$ and $\angle B=40°$, find the measures of the remaining four angles. Give reasons for your answers.

In the adjoining figure, measures of angles $\angle BAC$ and $\angle ACD$ are indicated. Calculate the measures of the remaining angles. Is $∆ABC$ isosceles? Give reason.

In the given triangle $ABC, AB=AC$. Find all the three angles of the triangle.

Find each of the angles of the triangle $ABC$ in the adjoining figure, where $BA\parallel CE$.

If $l\parallel m$, find the values of the unknown angles in the figure given below.

In the following figure, $D$ and $E$ are points on sides $AB$ and $AC$ of $∆ABC$ respectively such that $DE\parallel BC$. If $\angle B=30°$ and $\angle A=40°$, find $x, y$ and $z$.

Find the sum of $\angle 1, \angle 2, \angle 3, \angle 4, \angle 5, \angle 6, \angle 7, \angle 8,$ and $\angle 9$ in the adjoining figure.