Question

find the value of each variable.
(8x + 7)°
(9x - 4)°
x =

Explanation:

Step1: Set the two - angle expressions equal

Since the two angles are vertical angles and vertical angles are equal, we set up the equation $8x + 7=9x - 4$.

Step2: Isolate the variable $x$

Subtract $8x$ from both sides of the equation: $8x+7 - 8x=9x - 4-8x$. This simplifies to $7=x - 4$.

Step3: Solve for $x$

Add 4 to both sides of the equation: $7 + 4=x-4 + 4$. So $x = 11$.

Answer:

$11$