Three angles in a triangle have a ratio of 4:5:9. What is the measure of the smallest angle?

40 degrees.

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Answer: 40°

Step-by-step explanation:

Sum total of a triangle is supplementary that is, 180°

Since the angles are represented in ratios, the smallest is 4

To convert it to angles,

we add the ratios together

ie, 4 + 5 + 9 = 18

Therefore, the smallest angle with ratio 4 is

⁴/₁₈ x ¹⁸⁰ = 40°