Question

solve for x.
(89 - 6x)°
(3x + 62)°
x =

Explanation:

Step1: Identify angle - relationship

The angles \((89 - 6x)^{\circ}\) and \((3x + 62)^{\circ}\) are vertical angles. Vertical angles are equal.
So, \(89-6x=3x + 62\).

Step2: Isolate x - terms

Add \(6x\) to both sides of the equation:
\(89=3x + 62+6x\), which simplifies to \(89 = 9x+62\).

Step3: Isolate the constant - term

Subtract 62 from both sides: \(89 - 62=9x\), so \(27 = 9x\).

Step4: Solve for x

Divide both sides by 9: \(x=\frac{27}{9}=3\).

Answer:

3