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?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Let the degree measures of the angles of the triangle be , and . Then , and . So the largest angle has degree measure .
The degree measure of the largest angle is of the sum of the degree measures of the angles in the triangle, so it is degrees.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions