The supplement of the measurement of an angle is 16 degrees less than three times the angle. Find the measurement of the angle a nd its supplement.
1 answer:
Let x = measure of the angle y = measure of the supplement By definition of supplementary, the two angles add to 180 degrees, so x+y = 180 This is the first equation. The second equation is y = 3x-16 since we're given the info that "the supplement is 16 degrees less than three times the angle" -------------------------- The system of equations is x+y = 180 y = 3x-16 Focus on the first equation x+y = 180, plug in y = 3x-16, and solve for x x+y = 180 x+3x-16 = 180 ... y is replaced with 3x-16 4x-16 = 180 4x-16+16 = 180+16 4x = 196 4x/4 = 196/4 x = 49 Because x = 49, we can use this to find y y = 3x-16 y = 3*49-16 y = 147 - 16 y = 131 ------------------------------------------------------------- Final Answers: The measure of the angle is 49 degrees The measure of the supplement is 131 degrees
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Answer:
x=50
Step-by-step explanation:
x in (-oo:+oo)
(2/5)*x+10 = 30 // - 30
(2/5)*x-30+10 = 0
2/5*x-20 = 0 // + 20
2/5*x = 20 // : 2/5
x = 20/2/5
x = 50
x = 50
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