find the measure of an angle that is 20 degrees less than 3 times the measure of 1\2 its compliment

this problem has absolutely stumpd me. Any help is very much appreciated!
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1 Answer

The other angle = x

1/2 of the other angle = x/2

3 times 1/2 of the other angle = 3x/2

20 degrees less than 3 times 1/2 of the other angle = 3x/2 - 20

Completementary angles add up to 90.

x + 3x/2 - 20 = 90

5x/2 - 20 = 90

5x/2 = 110

5x = 220

x = 44

Answer:  The angle is 44 degrees.
by Level 13 User (103k points)

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