SOLUTION: I need help with this problem: The measure of two complementary angles are in the ratio 4:1. what is the measure of the smaller angle? THANKS(:

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Question 521843: I need help with this problem: The measure of two complementary angles are in the ratio 4:1. what is the measure of the smaller angle? THANKS(:
Found 2 solutions by oberobic, stanbon:
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
Logically, with a ratio of 4:1 the whole has been cut into 4+1 = 5 parts.
90/5 = 18 degrees per part
.
The smaller angle = 18 degrees.
The larger angle = 4*18 = 72 degrees.
.
Done.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The measure of two complementary angles are in the ratio 4:1. what is the measure of the smaller angle?
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4:1 is the same as 4x to x
----
smaller angle: x
larger angle: 4x
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Equation:
x + 4x = 90
5x = 90
x = 18 degrees (smaller angle)
4x = 72 degrees (larger angle)
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Cheers,
Stan H.
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