Answered

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The ratio of the measures of the angles in a
triangle is 4:7:9. Find the measures of the
angles.

Sagot :

Answer:

36°, 63°,  81°

Step-by-step explanation:

Let 4x = measure of angle 1

7x = measure of angle 2

9x = measure of angle 3

The sum of the measures of the angles of a triangle = 180

So 4x + 7x + 9x = 180

20x = 180

x = 9

4x = 36 = measure of angle 1

7x = 63 = measure of angle 2

9x = 81 = measure of angle 3

Check:  36 + 63 + 81 = 180

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