Question

find the measures of the labeled angles.
(x + 116)° = 145° (type a whole number.)
5x° =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So $x + 116=5x$.

Step2: Solve the equation for $x$

Subtract $x$ from both sides: $116 = 5x - x$, which simplifies to $116 = 4x$. Then divide both sides by 4: $x=\frac{116}{4}=29$.

Step3: Find the measure of $5x$

Substitute $x = 29$ into $5x$. So $5x=5\times29 = 145$.

Answer:

$145$