Question

solve for x.
(58 - 7x)°
(54 - 3x)°
x =

Explanation:

Step1: Identify angle - relationship

The angles \((58 - 7x)^{\circ}\) and \((54 - 3x)^{\circ}\) are vertical angles. Vertical angles are equal.
So, \(58 - 7x=54 - 3x\).

Step2: Isolate x - terms

Add \(7x\) to both sides of the equation:
\(58=54 - 3x+7x\), which simplifies to \(58 = 54+4x\).

Step3: Isolate the constant

Subtract 54 from both sides:
\(58 - 54=4x\), so \(4 = 4x\).

Step4: Solve for x

Divide both sides by 4:
\(x = 1\).

Answer:

\(1\)