Question

part 1 of 2
find the measures of the labeled angles.
(x + 81)° 4x°
(x + 81)° =
(type a whole number.)

Explanation:

Step1: Set up equation

Vertical - angles are equal. So, \(x + 81=4x\).

Step2: Solve for x

Subtract \(x\) from both sides: \(81 = 4x−x\), which simplifies to \(81 = 3x\). Then divide both sides by 3: \(x=\frac{81}{3}=27\).

Step3: Find the measure of the angle

Substitute \(x = 27\) into \(x + 81\). So, \(x + 81=27+81 = 108\).

Answer:

108