NCERT Solutions for Chapter: Lines and Angles, Exercise 2: Exercise

Can a triangle have two obtuse angles? Give reason for your answer.

How many triangles can be drawn having its angles $45°, 64°$ and $72°$?
Give reason for your answer.

How many triangles can be drawn having its angles as $53°, 64°$ and $63°$?
Give reason for your answer.

In the given figure, find the value of $x$ for which the lines $l$ and $m$ are parallel.

Two adjacent angles are equal. Is it necessary that each of these angles will be a right angle? Justify your answer.

If one of the angles formed by two intersecting lines is a right angle, what can you say about the other three angles? Give reason for your answer.

In the given figures, which of the two lines are parallel and why?

Two lines $l$ and $m$ are perpendicular to the same line $n$. Are $l$ and $m$ perpendicular to each other? Given reason for your answer.