Manipur Board Solutions for Chapter: Lines and Angles, Exercise 3: EXERCISE 6.3

In the given figure, $AB\parallel CD, \angle BPR=130°$ and $\angle CQR=30°$. Find $\angle PRQ$.

In the given figure, $l\parallel m$ and transversal $n$ intersects $l$ and $m$ at $A$ and $B$ respectively. If $\angle 1:\angle 2=3:2$. Determine all the eight angles.

In the given figure, $AB\parallel \parallel DE$. Find $x$.

If a transversal intersects two parallel lines, show that the bisectors of any pair of alternate angles are equal.

Prove that lines which are perpendicular to the same line are parallel to one another.

Two unequal angles of a parallelogram are in the ratio $4:5$. Find all the angles of the parallelogram.

Prove that if two arms of an angle are perpendicular to the two arms of another angle, then the angles are either equal or supplementary.

If one angle of a parallelogram is $60°$, find the other angles.