Question

find the measure of each angle in the problem.
3x 2x
o a 216° and 144°
o b. 108° and 72°
o c. 60° and 40°
o d. 100° and 80°

Explanation:

Step1: Set up the equation

Since the two angles \(3x\) and \(2x\) form a linear - pair (sum to \(180^{\circ}\)), we have \(3x + 2x=180^{\circ}\).

Step2: Solve for \(x\)

Combine like terms: \(5x = 180^{\circ}\). Then \(x=\frac{180^{\circ}}{5}=36^{\circ}\).

Step3: Find the measure of each angle

For the first angle: \(3x = 3\times36^{\circ}=108^{\circ}\).
For the second angle: \(2x = 2\times36^{\circ}=72^{\circ}\).

Answer:

B. \(108^{\circ}\) and \(72^{\circ}\)