2017 AMC 8 Problems/Problem 6
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
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 | |
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