Problem:
The sum of two angles of a triangle is of a right angle, and one of these two angles is larger than the other. What is the degree measure of the largest angle in the triangle?
Answer Choices:
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Solution:
The degree measures of two of the angles have a sum of and a positive difference of , so their measures are and . The remaining angle has a degree measure of , which is the largest angle.
The problems on this page are the property of the MAA's American Mathematics Competitions