Question

The degree measures of the angles of a triangle are in the ratio 4 : 5 : 9. Find the measures of each angle.​

Answer 1

Answer:

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Answer 2

Answer:

40°, 50° and 90°

Step-by-step explanation:

Let the angles are 4x, 5x, and 9x.

  As we know, sum of all interior angles of a triangle is 180°.

⇒ sum of 4x , 5x and 9x = 180°

⇒ 4x + 5x + 9x = 180°

⇒ 18x = 180°

⇒ x = 180°/18

⇒ x = 10°

     Therefore,  angles are:

4x = 4(10°) = 40°

5x = 5(10°) = 50°

9x = 9(10°) = 90°