SOLUTION: Can you please help me understand and solve this problem: One angle is 15 degrees more than twice another angle. If the angles are complementary find each angle.

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Question 226414: Can you please help me understand and solve this problem: One angle is 15 degrees more than twice another angle. If the angles are complementary find each angle.
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Can you please help me understand and solve this problem: One angle is 15 degrees more than twice another angle. If the angles are complementary find each angle.

Step 1. Complementary angles means two angles add up to 90 degrees.

Step 2. Let x be one angle

Step 3. Let 90-x be its complementary angle.

Step 4. 90-x=2x%2B15 since one angle is 15 degrees more than twice another angle

Step 5. Solving yields the following steps

Add x-15 to both sides of the equation to get numbers on one side only and x-variables on the other side only

90-x%2Bx-15=2x%2B15%2Bx-15

75=3x

Divide by 3 to both sides of the equation

75%2F3=3x%2F3

25=x and 90-x=65

Step 6. Check solution with the equation in Step 5

90-x=2x%2B15

65=2%2A25%2B15

65=65}}

Step 7. ANSWER: The complementary angles are 25 and 65 degrees.

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J