Question

Given two supplementary angles, n and (2n+3). Find the value of n.

Answer 1

n = 59°

Explanation:

Given: Angles n and (2n+3) are supplementary.

Two angles are said to be supplementary if they add up to 180 degrees.

Therefore:

`n+(2n+3)=180\degree`

Solve the equation for n:

`\begin{gathered} n+2n+3=180 \\ 3n+3=180 \\ \text{Subtract 3 from both sides:} \\ 3n+3-3=180-3 \\ 3n=177 \\ \text{Divide both sides by 3} \\ (3n)/(3)=(177)/(3) \\ n=59\degree \end{gathered}`

The value of n is 59°.