Difference between revisions of "2017 AMC 8 Problems/Problem 6"
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Revision as of 13:59, 22 November 2017
Problem 6
If the degree measures of the angles of a triangle are in the ratio
, what is the degree measure of the largest angle of the triangle?
Solution
The sum of the ratios is
. Since the sum of the angles of a triangle is
, the ratio can be scaled up to
. The numbers in the ratio
represent the angles of the triangle. We want the largest, so the answer is
See Also
| 2017 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 5 |
Followed by Problem 7 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions.