Aset 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

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°

answer:

step-by-step explanation: