SOLUTION: The measures of the angles in a triangle are in the extended ratio of 2:5:8. Find the measure of the three angles.

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Question 948830: The measures of the angles in a triangle are in the extended ratio of 2:5:8. Find the measure of the three angles.
Answer by MathLover1(20850) About Me  (Show Source):
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Recall that the sum of the interior angles of any triangle is 180°.
let +kbe an arbitrary constant of proportionality
you are given: given that the ratio of the angles is given as 2%3A5%3A8, we can say:

2k+%2B5k+%2B8k+=+180

Solve for +k and then calculate +5k and +8k to get the measure of the three angles.

15k+=+180
k+=+180%2F15
k+=+12
your angles:
2k=2%2A12=24
+5k=5%2A12=60
and +8k=8%2A12=96
so, your angles are: 24,60,and 96