SOLUTION: A and B are complementary and measure b is 2 more than three times the measure of A. find B

Question 216726: A and B are complementary and measure b is 2 more than three times the measure of A. find B
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
A and B are complementary and measure B is 2 more than three times the measure of A. Find B

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

Step 2. Let A be one angle and 90-A=B be the its complementary angle

Step 3. Let 3A be three times angle A.

Step 4. Then 90-A=2+3A since measure B=90-A is 2 more than three times the measure of A. Find B

Step 5. Solving, 90-A=2+3A by Adding A-2 to both sides to yield

Divide 4 to both sides of the equation

and

Check...90-A=2+3A...68=2+3*22...which is a true statement.

Step 6. ANSWER: Angle B is 68 degrees.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
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