Question

1. if two supplementary angles are in the ratio 3:2, what is the measure of the larger angle? 108° 36° 72° 144°

Explanation:

Step1: Recall supplementary - angle property

Supplementary angles add up to 180°. Let the two angles be 3x and 2x.

Step2: Set up an equation

3x + 2x=180°.

Step3: Solve the equation for x

Combining like - terms, we get 5x = 180°, so x = $\frac{180^{\circ}}{5}=36^{\circ}$.

Step4: Find the larger angle

The larger angle is 3x. Substitute x = 36° into 3x, we get 3×36° = 108°.

Answer:

108°