SOLUTION: An angle is equal to 5 times its complement,determine its measure ?

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Question 213452: An angle is equal to 5 times its complement,determine its measure ?
Found 2 solutions by stanbon, drj:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let angle be "x".
Complement = 90-x
--------------------
Equation:
x = 5(90-x)
x = 450 - 5x
6x = 450
x = 75 degrees
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Cheers,
Stan H.

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
An angle is equal to 5 times its complement,determine its measure ?

Step 1. Complementary angles are those angles when they add up to 90 degrees.

Step 2. Let x be the angle and let 5x be its complement.

Step 3. Then

x%2B5x=90

6x=90

Divide by 6 to both sides of equation to get x

6x%2F6=90%2F6

x=15

Step 4. The angle is 15 degrees and its complement is 75 degrees.


I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J