Question 906144
x = given angle
y = complement



x and y are complementary angles, so, x+y = 90


y = 90 - x


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"An angle is 20 degrees less than its complement" which means x = y - 20


x = y - 20


x = (90-x) - 20 ... plug in y = 90-x


x = 90-x-20


x = -x+70


x+x = 70


2x = 70


x = 70/2


x = 35


The angle is 35 degrees (the complement is 90-35 = 55 degrees)