SOLUTION: The complement of an angle is 16 degrees less than double the other angle. Find the angles.

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Question 218478: The complement of an angle is 16 degrees less than double the other angle. Find the angles.
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
The complement of an angle is 16 degrees less than double the other angle. Find the angles.

Step 1. Complementary angles is when two angles add up to 90 degrees.

Step 2. Let x be the angle and 2x be the twice the angle.

Step 3. Let 90-x its complementary angle.

Step 4. 90-x = 2x-16 since the complement of an angle is 16 degrees less than double the other angle.

Step 5. Solving yields the following steps:

Add x+16 to both sides of the equation.

90-x%2Bx%2B16+=+2x-16%2Bx%2B16

106=3x

Divide 3 to both sides of the equation

106%2F3=3x%2F3

x=35.33 and 90-x=54.67

Check if complement is 16 less than twice the angle...54.67=35.33*2=16... which is a true statement.

Step 6. ANSWER: The angles are 35.33 and 54.67.

I hope the above steps were helpful.

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And good luck in your studies!

Respectfully,
Dr J