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MA_775_DIABLO [31]
3 years ago
11

a set of angles has a ratio of 5:2 if the larger angle measures 105 degrees then what is the measure of the smaller angle?

Mathematics
2 answers:
Sphinxa [80]3 years ago
7 0
42 degrees. Divide 105 by 5 and get 21 and then multiply it by 2.
IRISSAK [1]3 years ago
5 0

Answer:

The measure of the smaller angle is 21°.

Step-by-step explanation:

We are given that a set of angles has a ratio of 5:2 .

Let the ratio be x

So, Larger angle is 5x

So, smaller angle be x

We are given that he larger angle measures 105 degrees

So, 5x=105

x=\frac{105}{5}

x=21

So, the measure of the smaller angle is 21°.

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