SOLUTION: the supplement of an angle is 15 more than four times. its com[pliment. Find the angle. its compliment and supplement

Question 622254: the supplement of an angle is 15 more than four times. its com[pliment. Find the angle. its compliment and supplement
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
the supplement of an angle is 15 more than four times. its com[pliment. Find the angle. its compliment and supplement
.
Let x = the angle
then
90-x = complement
180-x = supplement
.
from: "the supplement of an angle is 15 more than four times. its com[pliment"
180-x = 4(90-x) + 15
180-x = 360-4x + 15
180-x = 375-4x
180+3x = 375
3x = 195
x = 65 degrees (the angle)
.
complement:
90-x = 90-65 = 25 degrees
.
supplement:
180-x = 180-65 = 115 degrees

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