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

Find The Value Of X Then Find The Measure Of Both Angles class=

Sagot :

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.-

[tex](4x+20)+(x-10)=180[/tex]

We reduce like terms

[tex]5x+10=180[/tex]

Then, we subtract 10 on each side.

[tex]\begin{gathered} 5x+10-10=180-10 \\ 5x=170 \end{gathered}[/tex]

At last, we divide the equation by 5.

[tex]\begin{gathered} \frac{5x}{5}=\frac{170}{5} \\ x=34 \end{gathered}[/tex]

We use this value to find the angles.

[tex]\begin{gathered} 4x+20=4(34)+20=136+20=156 \\ x-10=34-10=24 \end{gathered}[/tex]

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

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