SOLUTION: twice the measure of an angle is 30 less than five times the measure of its supplement, what is the measure of the angle?
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Question 261682: twice the measure of an angle is 30 less than five times the measure of its supplement, what is the measure of the angle? Answer by masoax(2) (Show Source):
You can put this solution on YOUR website! 2x=((180-x)*5)-30 is the equation according to my brain.
Solving
First you Simplify the equation:
2x = ((180 + -1x) * 5) + -30
Reorder the terms for easier multiplication:
2x = (5(180 + -1x)) + -30
2x = ((180 * 5 + -1x * 5)) + -30
2x = ((900 + -5x)) + -30
2x = (900 + -5x) + -30
Remove parenthesis around (900 + -5x)
2x = 900 + -5x + -30
Reorder the terms:
2x = 900 + -30 + -5x
Combine like terms: 900 + -30 = 870
2x = 870 + -5x
Solving
2x = 870 + -5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '5x' to each side of the equation.
2x + 5x = 870 + -5x + 5x
Combine like terms: 2x + 5x = 7x
7x = 870 + -5x + 5x
Combine like terms: -5x + 5x = 0
7x = 870 + 0
7x = 870
Divide each side by '7'.
Then the answer according to masoax is:
x = 124.2857143
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