SOLUTION: In a triangular cross-section of a lean-to for water fowl in an aviary, the second angle is 2 times as large as the first angle. And the measure of the third angle is 20 degrees gr
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Question 204366: In a triangular cross-section of a lean-to for water fowl in an aviary, the second angle is 2 times as large as the first angle. And the measure of the third angle is 20 degrees greater than that of the first angle. How lare are the angles? Answer by solver91311(24713) (Show Source):
Let represent the measure of the first angle. Then the measure of the second angle must be and the measure of the third angle must be , all measures in degrees.
Since the sum of the measures of the angles of any triangle is 180 degrees, you can say:
Solve for to get the measure of the first angle and the others follow easily.