Respuesta :

Here, sum of ratios = 3 + 5 + 7 = 15
Value of 1 unit = 180 / 15 = 12

So, Ratio measures = 3(12), 5(12), 7(12) = 36, 60, 84

In short, Your Answer would be 36 [ smallest side ]

Hope this helps!

The measure of the smallest angle is 36°.

Triangles:

  • It is a closed figure having three sides.
  • It has three angles having the sum of 180°.

How to solve the given problem?

  • As the angles are in the ratio 3:5:7, Let's consider a ΔABC having the angles in the given ratio.
  • ∴∠A=3k°, ∠B=5k° & ∠C=7k°
  • As sum of angles of triangle is 180°,
    ∴ ∠A + ∠B + ∠C = 180°
    ∴ 3k + 7k + 5k = 180°
    ∴ 15k = 180°
    ∴ k = 12°
  • ∴∠A = 3k = 3 × 12 =36°
    ∴∠B = 5k = 5 × 12 =60°
    ∴∠C = 7k = 7 × 12 =84°

Thus, the measure of the smallest angle is 36°.

Learn more about Angles of Triangles here:

https://brainly.com/question/17972372

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