SOLUTION: The second angle of a triangular parking lot is four times as large as the first angle.The third angle is 45 degrees less than the sum of the other two angles.How large are the ang
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-> SOLUTION: The second angle of a triangular parking lot is four times as large as the first angle.The third angle is 45 degrees less than the sum of the other two angles.How large are the ang
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Question 513859: The second angle of a triangular parking lot is four times as large as the first angle.The third angle is 45 degrees less than the sum of the other two angles.How large are the angles. Answer by umail08(87) (Show Source):
You can put this solution on YOUR website! x = 1st angle
4x = 2nd angle
(x +4x) – 45 = 5x - 45 = 3rd angle
The sum of the angles in a triangle is 180 degrees
Therefore:
x + 4x + 5x -45 = 180
10x – 45 = 180
10x – 45 + 45 = 180 + 45
10x = 225
10x/10 = 225/10
x = 22.5 degrees …. 1st angle
4x = 4(22.5) = 90 degrees … 2nd angle
5x – 45 = 5(22.5) – 45 = 67.5 degrees … 3rd angle
