Question

I need help with this assignment

Answer 1

Since the angles are supplementary this means that:

`m\measuredangle A+m\measuredangle B=180`

Plugging the expressions for each angle and solving for x we have:

`\begin{gathered} 2x+10+2x+2=180 \\ 4x+12=180 \\ 4x=168 \\ x=(168)/(4) \\ x=42 \end{gathered}`

Once we know the value of x we plug in the expression for angle A to find its measurement:

`2(42)+10=94`

Therefore the angle A is 94°.