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
2 answers:
ratio 5:2
105, ___
5x = 105 → x = 21
2x = ____ → 2(21) = 42
Answer: 42°
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°
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