Question

find the measures of the labeled angles. (x + 99)° 4x° (x + 99)° = □° (type a whole number.)

Explanation:

Step1: Set up equation

Vertical - angles are equal. So, $x + 99=4x$.

Step2: Solve for x

Subtract $x$ from both sides: $99 = 4x−x$, which simplifies to $99 = 3x$. Then divide both sides by 3: $x=\frac{99}{3}=33$.

Step3: Find the angle measure

Substitute $x = 33$ into $x + 99$. So, $(x + 99)^{\circ}=(33 + 99)^{\circ}=132^{\circ}$.

Answer:

$132$