SOLUTION: The measures of the angles in a triangle are in the extended ratio of 1:4:7. Find theeasures of the angles.

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Question 956437: The measures of the angles in a triangle are in the extended ratio of 1:4:7. Find theeasures of the angles.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

if one angle is x and the ratio of 1%3A4%3A7, means second angle is 4x and third angle is 7x
since the sum of all three angles in a triangle is 180 degrees, we have

x+%2B+4x+%2B+7x+=+180
12x+=+180
x+=+15
then
4x+=+60
7x+=+105
The angles are 15°, 60°, and 105°.