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The ratio of the measures of three angles is 3:8:9. find the measure of each angle of the triangle.

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To solve this problem you must apply the proccedure shown below:

1. You have that the ratio of the measures of the three angles is
3:8:9

2. The sum of the interior angle of a triangle is
180degrees

3. Let's say that the measure of each angle is
x multiplied by the ratio. Therefore, you can write the following equation and solve for
x:


3x+8x+9x=180\\ x=9

4. Therefore, the measure of each angle is:


3(9)=27degrees\\ 8(9)=72degrees\\ 9(9)=81degrees

The answer is:
27degrees, 72degrees,81degrees

User Ricki Moore
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