Question

find the measures of the labeled angles. (x + 96)° 5x° (x + 96)° = ° (type a whole number.)

Explanation:

Step1: Set up equation

Vertical - angles are equal. So, $x + 96=5x$.

Step2: Solve for x

Subtract $x$ from both sides: $96 = 5x−x$. Simplify to get $96 = 4x$. Then divide both sides by 4: $x=\frac{96}{4}=24$.

Step3: Find the measure of the angle

Substitute $x = 24$ into $x + 96$. So, $x + 96=24 + 96=120$.

Answer:

120