SOLUTION: Use the five steps for problem solving to answer the following question. Please show all of your work. Angle A and Angle B are complementary angles. If Angle A is six more than

Question 404259: Use the five steps for problem solving to answer the following question. Please show all of your work.
Angle A and Angle B are complementary angles. If Angle A is six more than three times Angle B, what are the measures of the angles? WHERE DO I BEGIN??!! HELP !!
Found 3 solutions by nerdybill, lwsshak3, richard1234:
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!

Angle A and Angle B are complementary angles. If Angle A is six more than three times Angle B, what are the measures of the angles?
.
Let x = measure of angle B
then
3x+6 = measure of angle A
.
Sum of complementary angles equal 90 degrees:
x + 3x+6 = 90
4x+6 = 90
4x = 84
x = 21 degrees (angle B)
.
angle A:
3x+6 = 3(21)+6 = 63+6 = 69 degrees
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Angle A and Angle B are complementary angles. If Angle A is six more than three times Angle B, what are the measures of the angles?
..
A+B=90 deg
B=90-A
A=3B+6=3(90-A)+6
A=270-3A+6
4A=276
A=69 deg
B=90-69 = 21 deg
Ans:
Angle A=69 deg
Angle B=21deg
Answer by richard1234(7193)   (Show Source): You can put this solution on YOUR website!
I never learned "the five steps for problem solving" (lots of problems have way more than five steps...) but here's how you solve it.

Suppose angle B = b. Then, angle A = 3b + 6 (subject to the given condition). They are complementary, so

b + (3b + 6) = 90

4b + 6 = 90

4b = 84 --> b = 21, so angle B = 21 and angle A = 69 (degrees)
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