Question

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

Explanation:

Step1: Set the two expressions equal

Since the two angles are vertical angles and vertical angles are equal, we set \(8x + 7=9x - 4\).

Step2: Isolate the variable x

Subtract \(8x\) from both sides: \(8x+7 - 8x=9x - 4-8x\), which simplifies to \(7=x - 4\).

Step3: Solve for x

Add 4 to both sides: \(7 + 4=x-4 + 4\), so \(x = 11\).

Answer:

11