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# Geometry

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what is measure of an angle if it is less 120 less then four times its own supplementary

pls help me im really confuse at this type of question

May 13, 2018

#1
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Supplementary: 180

(180-x)*4-120

x=720-4x-120

5x=120

180-120=\(\boxed{60^\circ}\) degrees.

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May 13, 2018
edited by tertre  May 13, 2018
#2
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Angle:  x

Supplement to x:  180 - x

x = 4(180 - x) - 120

x = 720 - 4x - 120                         Now, add 4x to both sides:

5x  =  720 - 120

5x  =  600

x = 120

Angle = 120; supplement = 180 - 120 = 60.

May 13, 2018