Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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°.

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.