Question

What is the measure of ∠N, if ∠M and ∠N are angles in a linear pair and the m∠M is 30°? *.

Answer 1

Given:

`\angle M=30\degree`

And angle M and N are angles in a linear pair.

Required:

To find the angle N.

Step-by-step explanation:

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

Therefore,

`\begin{gathered} \angle M+\angle N=180\degree \\ \\ 30\degree+\angle N=180\degree \\ \\ \angle N=180\degree-30\degree \\ \\ \angle N=150\degree \end{gathered}`

Final Answer:

`\angle N=150\degree`