SOLUTION: two angles are complementary the angles are represented by 6x-3 and 12 x + 20 find the measure of the smallest angle

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Question 1049066: two angles are complementary the angles are represented by 6x-3 and 12 x + 20 find the measure of the smallest angle
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Two angles are Complementary when they add up to 90 degrees (a right angle).
if the angles are represented by 6x-3 and 12x+%2B+20, we have
6x-3%2B12x+%2B+20=90......solve for x
18x%2B+17=90
18x=90-17
18x=73
x=73%2F18
now find angles:
6x-3 ->6%2873%2F18%29-3->73%2F3-3->73%2F3-9%2F3->64%2F3->21.33333333333333->21.33

and
12x+%2B+20->2%2873%2F3%29+%2B+20->146%2F3+%2B+60%2F3->206%2F3->68.66666666666667->68.67

check:
21.33%2B68.67=90
90=90