Question

The angle which makes a linear pair with an angle of $61°$ is of

• A. $29°$
• B. $61°$
• C. $122°$
• D. $119°$

Answer 1

The correct option is D

$119°$

Explanation for correct option:

Option(D):

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$180°$. Such angles are also known as supplementary angles.

Given angle measure is $61°$

Let $A°$ be the angle which makes linear pair with $61°$

$\begin{array}{crcl}\therefore & A+61& =& 180°\\ \Rightarrow & A& =& 180°-61°\\ \Rightarrow & A& =& 119°\end{array}$

$\therefore$ The angle which makes linear pair with $61°$ is $119°$

Thus, option(D) is correct.

Hence, the correct option is option(D).