Maharashtra Board Solutions for Chapter: Parallel Lines, Exercise 3: Problem set 2

The number of angles formed by a transversal of two lines is _____

A transversal intersects two parallel lines. If the measure of one of the angles is $40°$, then the measure of its corresponding angle is _____

In $△ABC, \angle A=76°,\angle B=48°$, $\therefore \angle C=$_____ 

Two parallel lines are intersected by a transversal. If measure of one of the alternate interior angles is $75°$ then the measure of the other angle is _____

Ray $PQ$ and ray $PR$ are perpendicular to each other. Points $B$ and $A$ are in the interior and exterior of $\angle QPR$ respectively. Ray $PB$ and ray $PA$ are perpendicular to each other. Draw a figure showing all these rays and write a pair of supplementary angles

Ray $PQ$ and ray $PR$ are perpendicular to each other. Points $B$ and $A$ are in the interior and exterior of $\angle QPR$ respectively. Ray $PB$ and ray $PA$ are perpendicular to each other. Draw a figure showing all these rays and write a pair of congruent angles.

Line $AB \parallel CD \parallel EF$  and line $QP$ is their transversal. If $y:z=3:7$ then the measure of $\angle x$ is $k°$. Find the value of $k$.

In figure, line $Q \parallel$ line $R$ and $p$ is their transversal. If $a=80°$ and $\angle f-\angle g=x°$, then find the value of $x$.