Question

The measures of a triangle are in the ratio 2:3:5. what are the measures of the angles?

Answer 1

Answer:

Solution :-

Let the angle be 2y, 3y and 5y.

We know that sum of all angles is 180

180 = 2y + 3y + 5y

180 = 10y

180/10 = y

18 = y

2(18) = 36⁰

3(18) = 54⁰

5(18) = 90⁰

Answer 2

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Answer:

  36°, 54°, 90°

Step-by-step explanation:

We have to assume that the given measures are angle ratios, not side ratios. Sides in the ratios 2:3:5 will not form a triangle.

For some multiplier x, the angle values will total 180°.

  2x +3x +5x = 180

  x = 180/(2+3+5) = 18

Then the angle measures are ...

  2x° = 2·18° = 36°

  3x° = 3·18° = 54°

  5x° = 5·18° = 90°

The angle measures are 36°, 54°, and 90°.