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