Respuesta :

42 degrees. Divide 105 by 5 and get 21 and then multiply it by 2.

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, [tex]5x=105[/tex]

[tex]x=\frac{105}{5}[/tex]

[tex]x=21[/tex]

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

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