A linear pair may have two acute angles. State whether the statement is true or false

Solution:

Given, a linear pair may have two acute angles.

We have to determine if the given statement is true or false.

Linear pairs of angles are formed when two lines intersect each other at a single point.

The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.

The sum of angles of a linear pair is always equal to 180°

∠1 + ∠2 = 180°

An acute angle is a type of angle that measures less than 90° i.e. measure between 0° to 90°.

From the above definition,

A linear pair must have two right angles or one acute angle and one obtuse angle.

So, a linear pair may not have two acute angles.

Therefore, the given statement is false.

✦ Try This: A linear pair may have two right angles. State whether the statement is true or false

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5

NCERT Exemplar Class 7 Maths Chapter 5 Problem 69

A linear pair may have two acute angles. State whether the statement is true or false

Summary:

The given statement,”A linear pair may have two acute angles” is false

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