SOLUTION: Angle a is one eighth as large as its complement angle b

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Question 647861: Angle a is one eighth as large as its complement angle b
Found 2 solutions by rfer, fcabanski:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
1/8x+7/8x=90
x=90
90*1/8=90/8=11.25
90*7/8=78.75

Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
Complementary angles add to 90 degrees. So a+b = 90 and a's complement, b, is 90-a.


a is one eighth as large as its complement. So a = (90-a)/8. Solve for a.


8a = 90 - a ... 9a = 90.. a = 10.


10 is 1/8 as large as 90-10 = 80.