West Bengal Board Solutions for Chapter: Properties of Parallel Lines and Their Transversal, Exercise 7: Let's workout - 8.1

Write from the figure beside which are corresponding angles, alternate angles and of the interior angles in the same side of the transversal.

Examining the measurement of the angles given below, check logically $AB \& CD$ are parallel or not.

In the figure, $AB\parallel CD$ let's write the measurement of $\angle PQR$.

In the figure beside $PQ\parallel RS$, $\angle BPQ=40°$, $\angle BPR=155°$, $\angle CRS=70°$, write the measurement of all angles of $△APR$. 

$O$ is any point inside the parallel lines $AB$ and $CD$. $OP$ and $OQ$ are two perpendiculars on $XY$ and $AB$ respectively. Let's prove that $P, O, Q$ are collinear.

Each pair of arms of two angles is parallel to each other. Let's prove either these angles are equal in measurement or they are supplementary.

The diagonal $AC$ of the parallelogram ABCD bisects $\angle BAD$. Let's prove that the diagonal AC also bisects $\angle BCD$.

Let's prove if one angle of a parallelogram is right angle, then all other angles of the parallelogram are also right angles.