SOLUTION: The second angle of a triangle is 4 times as large as the first. The third angle is 80° more than the sum of the other two angles. Find the measure of the second angle.

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Question 259870: The second angle of a triangle is 4 times as large as the first. The third angle is 80° more than the sum of the other two angles. Find the measure of the second angle.
Answer by dabanfield(803) About Me  (Show Source):
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The second angle of a triangle is 4 times as large as the first. The third angle is 80° more than the sum of the other two angles. Find the measure of the second angle.
Let x be the first angle above. Then since the three angles need to add up to 180:
x + 4x + (x+4x+80) = 180
Solve for x and the second angle is 4*x.