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Question 15291: angle a is 4 times as large as angle b and angle c is 20 degrees less than angle b...what does each angle equal?
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! Since angle a is given in terms of angle b and angle c is given in terms of angle b, everything is in terms of angle b, so let x = angle b.
Let x = angle b
4x = angle a
x-20 = angle c
The sum of the angles is 180 degrees.
x + 4x + x - 20 = 180
6x - 20 = 180
6x = 200 {Note: Answer doesn't come out even, but then that's life sometimes!)
x= 200/6 = 100/3 = 33 1/3 degrees -- angle b
4x = 400/3 = 133 1/3 degrees -- angle a
x-20 = 33 1/3 - 20 = 13 1/3 degress -- angle c
Check: 33 1/3 + 133 1/3 + 13 1/3 = 180 degrees
It checks!
R^2 at SCC
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