Question

in which of the following cases will the pair of adjacent angles are formed by a linear pair explain with example A) when both are acute angle B) when both are obtuse angle C) when both are right angle D) when one angle is acute and other is obtuse​

Answer 1

D) when one angle is acute and the other is obtuse.

Explanation:

A linear pair of angles are formed when two adjacent angles are supplementary, meaning their measures add up to 180 degrees. In this case, if one angle is acute (less than 90 degrees) and the other angle is obtuse (greater than 90 degrees), their measures can add up to 180 degrees and form a linear pair.

For example, let's consider angle A as 60 degrees (acute) and angle B as 120 degrees (obtuse). The sum of these angles is 60 + 120 = 180 degrees, fulfilling the requirement for a linear pair.