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The ratio of the angles in a triangle is 3:10:7, what is the measure of the smallest angle

The ratio of the angles in a triangle is 3:10:7, what is the measure of the smallest angle
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4 votes
The ratio of the angles in a triangle is 3:10:7, what is the measure of the smallest angle

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User Dikla
by
7.6k points

1 Answer

4 votes

Answer:

27°

Explanation:

Let the measure of the angels be 3x, 10x, 7x.


3x + 10x + 7x = 180 \degree \\ \\ 20x = 180 \degree \\ \\ x = (180 \degree)/(20) \\ \\ x = 9 \degree \\ smallest \: angle \: = 3x \\ \\ = 3 * 9 \degree \\ \\ = 27 \degree

answered
User Pupper
by
8.0k points
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