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Then complement = y = 90 - x

Supplement = = z = 1/4 *y = 180 - x

Given, complement = 1/4 * supplement

4(90 - x) = 180 - x

360 - 4x = 180 - x

360 - 180 = 4x - x

180 = 3x

x = 180/3

x = 60 degrees

If x = 60, complement = 90 - x = 90 - 60 = 30

supplement = 180 - x = 180 - 60 = 120

complement should be = to 1/4 * supplement

30 = 1/4 * 120

30 = 30

So, the answer is correct.

Hope you got what you needed.

supplement of x=180-x

90-x=1/4(180-x)

90-x=45-x/4

90-45=x+x/4

45=4x/4+x/4

45=5x/4

therefore x=45*4/5

=36