SOLUTION: solve
the second angle of a triangle is 3 times as large as the first. the third angle is 55 more than the first. find all three angles.
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the second angle of a triangle is 3 times as large as the first. the third angle is 55 more than the first. find all three angles.
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Question 427450: solve
the second angle of a triangle is 3 times as large as the first. the third angle is 55 more than the first. find all three angles. Answer by John10(297) (Show Source):
You can put this solution on YOUR website! The second angle of a triangle is 3 times as large as the first. The third angle is 55 more than the first. find all three angles.
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Let x be the first angle
y------- second ----
z------- third------
We know that the total degree of a triangle is 180 degrees: x + y + z = 180 (1)
The second angle of a triangle is 3 times as large as the first: y = 3x (2)
The third angle is 55 more than the first: z = x + 55 (3)
Substitute (3) and (2) into (1) to find x:
x + (3x) + (x +55) = 180
x + 3x + x + 55 = 180
5x = 125
x = 125 /5
x = 25
Substitute x = 25 into (2) to find y and into (3) to find z:
y = 3(25) = 75
z= 25 + 55 = 80
Thus the first angle is 25, second is 75 and the third is 80
You can check by adding three angle together!!!!!!
