Question

find the value of x then find the measure of both angles

Answer 1

According to the given graph, the angles are linear pairs because they are on a straight angle, so the must sum 180°. Having said that, we express the following.-

$(4x+20)+(x-10)=180$

We reduce like terms

$5x+10=180$

Then, we subtract 10 on each side.

$\begin{gathered} 5x+10-10=180-10 \\ 5x=170 \end{gathered}$

At last, we divide the equation by 5.

$\begin{gathered} \frac{5x}{5}=\frac{170}{5} \\ x=34 \end{gathered}$

We use this value to find the angles.

$\begin{gathered} 4x+20=4(34)+20=136+20=156 \\ x-10=34-10=24 \end{gathered}$

Therefore, x is equal to 34, and the angles are 156° and 24°.