SOLUTION: In a triangle, the second angle is 5 times as large as the first angle. The third angle is 18° less than 4 times the first angle. Find the measure of each angle.
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Question 1056111: In a triangle, the second angle is 5 times as large as the first angle. The third angle is 18° less than 4 times the first angle. Find the measure of each angle. Found 2 solutions by addingup, Alan3354:Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website! In every triangle, the sum of the angles = 180 degrees.
We have 3 angles, let them be A, B, and C
B = 5A
C = 4A-18
A+5A+4A-18 = 180
10A = 198
A = 19.8
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A............. 19.8
B 5(19.8)..... 99
C 4(19.8)-18.. 61.2
Total: . . .. 180 Correct
You can put this solution on YOUR website! In a triangle, the second angle is 5 times as large as the first angle. The third angle is 18° less than 4 times the first angle. Find the measure of each angle.
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x = 1st angle
5x = 2nd angle
4x-18 = 3rd angle
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Sum of the 3 angles = 180 degs
