SOLUTION: In triangle ABC, all angles are integers. AB is the shortest side and 49 is the measure of angle B. The minimum value for angle A is ______.

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Question 708726: In triangle ABC, all angles are integers. AB is the shortest side and 49 is the measure of angle B. The minimum value for angle A is ______.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
In any triangle, the angle opposite the shortest side is the smallest angle.
So angle C, opposite side AB is smaller than angle B, which measures 49%5EoB=49%5Eo.
C%3CB --> C%3C=48%5Eo
B%2BC%3C=49%5Eo%2B48%5Eo --> B%2BC%3C=97%5Eo
Since the measures of the angles of a triangle add up to 180%5Eo,
A%2BB%2BC=180%5Eo --> A=180%5Eo-%28B%2BC%29
B%2BC%3C=97%5Eo --> 180%5Eo-%28B%2BC%29%3E=180%5Eo-97%5Eo --> 180%5Eo-%28B%2BC%29%3E=83%5Eo --> A%3E=highlight%2883%5Eo%29