tajonna2468 tajonna2468
  • 06-12-2019
  • Mathematics
contestada

The ratio of the measures of the angle in a triangle is 4:10:6. Find the measures of the smallest angles

Respuesta :

jimrgrant1 jimrgrant1
  • 06-12-2019

Answer:

36° and 54°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the parts of the ratio,  4 + 10 + 6 = 20 parts

Divide 180 by 20 to find the value of one part of the ratio

180° ÷20 = 9° ← value of 1 part of the ratio

4 parts = 4 × 9° = 36°

10 parts = 10 × 9° = 90°

6 parts = 6 × 9° = 54°

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