Question

A set of angles has a ratio of 5 to 2. If the larger angle measures 105 degrees then what is the measure of the smaller angle

Answer 1

ratio 5:2

105, ___

5x = 105 → x = 21

2x = ____ → 2(21) = 42

Answer: 42°

Answer 2

Answer: 42° is the measure of the smaller angle.

Explanation:

Since, the ratio of larger and smaller angle= 5:2

let larger angle= 5x and smaller=2x , where x is any number.

According to the question, larger angle = 105°

So, 5x=105° ⇒x=105°/5=21°

Thus, smaller angle = 2x= 2×21°=42°