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} (5x)/(5)=(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°.