Question

part 2 of 2
find the measures of the labeled angles.
(x + 81)° 4x°
(x + 81)° = 108 °
(type a whole number.)
4x° =
(type a whole number.)

Explanation:

Step1: Set up the equation

Since vertical - angles are equal, we have $x + 81=4x$.

Step2: Solve for $x$

Subtract $x$ from both sides: $81 = 4x−x$, so $81 = 3x$. Then divide both sides by 3: $x=\frac{81}{3}=27$.

Step3: Find the measure of $4x$

Substitute $x = 27$ into $4x$. So $4x=4\times27 = 108$.

Answer:

$108$