autumnellen1908 autumnellen1908
  • 26-01-2024
  • Mathematics
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The measures of the angles of a triangle are in the ratio 1:3:5. Find the measures of all three angles.

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jimrgrant1 jimrgrant1
  • 26-01-2024

Answer:

20° , 60° , 100°

Step-by-step explanation:

the sum of the 3 angles in a triangle is 180°

sum the parts of the ratio , 1 + 3 + 5 = 9 parts

divide 180° by 9 to find the value of one part of the ratio

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

3 parts = 3 × 20° = 60°

5 parts = 5 × 20° = 100°

The measures of the 3 angles are 20° , 60° , 100°

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