Question

find the value of the variable. x = (simplify your answer.) (x + 105)° 4x°

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, \(x + 105=4x\).

Step2: Solve the equation for \(x\)

Subtract \(x\) from both sides: \(105 = 4x - x\), which simplifies to \(105=3x\).
Then divide both sides by 3: \(x=\frac{105}{3}\).

Answer:

\(x = 35\)