4 times the measure of the complement of an angle is equal to 2/3he measure of the original angle's supplement. what is the measure of the angle?

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tytiannsmith3574 tytiannsmith3574

26-01-2018
Mathematics

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4 times the measure of the complement of an angle is equal to 2/3he measure of the original angle's supplement. what is the measure of the angle?

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s1m1 s1m1 · Answer 1 · 2018-01-26T13:32:23+01:00

s1m1 s1m1

26-01-2018

Let x be the angle
Complement of x is (90 degrees-x)
Supplement of x is (180 degrees-x)

4•(90-x)= 2/3(180-x)
3•4(90-x)=2(180-x)
1080-12x=360-2x
1080-360=12x-2x
720=10x
720/10= x
So x = 72 degrees

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