Question

The measures of two adjacent angles have a ratio of 3:5. The sum of the

measures of the two adjacent angles is 120°. What is the measure of the
larger angle?

Answer 1

75°

Explanation:

The ratio of two adjacent angles is 3: 5

the total ratio = 3+5=8

the sum of the two adjacent angles = 120°

The measure of the larger angle

`(5)/(8) * 120 \\ = (600)/(8) \\ =75`

Therefore the larger angle is 75°.