maggiehorne65 maggiehorne65
  • 24-11-2020
  • Mathematics
contestada

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

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Hrishii
Hrishii Hrishii
  • 24-11-2020

Answer:

27°

Step-by-step explanation:

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

[tex]3x + 10x + 7x = 180 \degree \\ \\ 20x = 180 \degree \\ \\ x = \frac{180 \degree}{20} \\ \\ x = 9 \degree \\ smallest \: angle \: = 3x \\ \\ = 3 \times 9 \degree \\ \\ = 27 \degree[/tex]

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