SOLUTION: The measure of each interior angle of a triangle is a multiple of 15 degrees. How many possible triangles are there that three angles are all distinct?

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Question 1044590: The measure of each interior angle of a triangle is a multiple of 15 degrees. How many possible triangles are there that three angles are all distinct?
Answer by Alan3354(69443) About Me  (Show Source):
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The measure of each interior angle of a triangle is a multiple of 15 degrees. How many possible triangles are there that three angles are all distinct?
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15, 15, 150
15, 30, 135
15, 45, 120
15, 60, 105
15, 75, 90
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30, 30, 120
30, 45, 105
30, 60, 90
30, 75, 75
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45, 45, 90
45, 60, 75
45, 90, 45
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Twelve.