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3 years ago

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

Mathematics

2 answers:

bekas [8.4K]3 years ago

6 0

ratio 5:2

105, ___

5x = 105 → x = 21

2x = ____ → 2(21) = 42

Answer: 42°

Rudiy273 years ago

5 0

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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<span>Equation:
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Step-by-step explanation:

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