Difference between revisions of "2017 AMC 8 Problems/Problem 6"
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Revision as of 16:02, 28 December 2022
Problem
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 1
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. The question asks for the largest, so the answer is .
Solution 2
We can denote the angles of the triangle as , , . Due to the sum of the angles in a triangle, . The greatest angle is and after substitution we get .
~MathFun1000
Solution 3
Video Solution
https://youtu.be/rQUwNC0gqdg?t=635
~savannahsolver
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 |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.