Question

Find the value of x.

Answer 1

Answer:

x=25

Step-by-step explanation:

Since these are two intersecting lines, and the angles shown to use are on opposite sides, by definition, they are equal. In other words:

$5x+4=8x-71$

All we have to do is solve this equation for x:

$5x+4=8x-71\\-3x=-75\\x=25$

Therefore, x is 25

Answer 2

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

By the Vertical Angle Theorem:   $\hookrightarrow \text{Arrows, created by two interesecting lines, opposite each other are equal in measure}$

 $\hookrightarrow \text{So:}$

   $5x + 4 = 8x-71\\8x-5x = 4 + 71\\3x = 75\\x = 25$

Answer: 25

Definitions:

• Vertical Angle Theorem: angles created by two intersecting lines have the property such that the angles opposite each other are equal in measure

Hope that helps!

#LearnwithBrainly