SOLUTION: Find two complementary angles where one is 12 degrees larger than the other angle.

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Question 424642: Find two complementary angles where one is 12 degrees larger than the other angle.
Found 2 solutions by rfer, MathLover1:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
x+x+12=90
2x=78
x=39
x+12=51

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

two complementary angles add up to 90°.
if onea is 12 degrees larger than the other angle b, we have
a+=+b+%2B+12 ........1
by definition we have
a+%2B+b=90................2

a+=+b+%2B+12 ........1.substitute a in 2
b+%2B+12+%2B+b=90................2

2b+%2B+12=90
2b+=90-12
2b+=78
b+=78%2F2
b+=39......now find a

a+=+39+%2B+12
a+=+51

check:

a+%2B+b=90................2

51+%2B+39=90
90=90