Question

find the measures of the labeled angles. (x + 115)° =
(type a whole number.)

Explanation:

Step1: Set up equation

Vertical angles are equal. So $x + 115=6x$.

Step2: Solve for x

Subtract $x$ from both sides: $115 = 6x - x$, which simplifies to $115=5x$. Then divide both sides by 5: $x=\frac{115}{5}=23$.

Step3: Find the angle measure

Substitute $x = 23$ into $x + 115$. So $x+115=23 + 115=138$.

Answer:

138