Question

Two angles are supplementary. They are represented by (3x)° and (12x+1)°. Find both angles.

Answer 1

35.8°

144.2°

Explanation:

Definition of Supplementary Angles: They add up to 180°

Step 1: Set up equation

3x + 12x + 1 = 180

Step 2: Solve

15x + 1 = 180

15x = 179

x = 11.93

Step 3: Find angles

∠1 = 3x

m∠1 = 3(11.93) = 35.8°

∠2 = 12x + 1

m∠2 = 12(11.93) + 1 = 144.2°