Question

solve for x.
(58 - 2x)°
(64 - 4x)°
x =

Explanation:

Step1: Identify angle - relationship

Assume the two angles are vertical angles and vertical angles are equal. So, $58 - 2x=64 - 4x$.

Step2: Isolate x - terms

Add $4x$ to both sides of the equation:
$58 - 2x+4x=64 - 4x+4x$.
Simplify to get $58 + 2x=64$.

Step3: Solve for x

Subtract 58 from both sides: $2x=64 - 58$.
$2x = 6$.
Divide both sides by 2: $x=\frac{6}{2}=3$.

Answer:

$3$