SOLUTION: Write an equation that can be used to solve the problem. Find the solution to the problem. Angles A and B are complementary angles. Determine the measures of angles A and B if angl

Algebra ->  Angles -> SOLUTION: Write an equation that can be used to solve the problem. Find the solution to the problem. Angles A and B are complementary angles. Determine the measures of angles A and B if angl      Log On


   

Question 1151754: Write an equation that can be used to solve the problem. Find the solution to the problem. Angles A and B are complementary angles. Determine the measures of angles A and B if angle A is 14 times the size of angle B.
Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
complementary angles add to 90
B is x
A is 14x
they add (15x) to 90 so 15x=90 and divide both sides by 15 and x=6
14x=84
Those are the two angles, and they add to 90 deg

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Angles A and B are complementary+angles, two angles whose sum is 90°
A%2BB=90°..........eq.1
if angle Ais 14 times the size of angle B, we have
A=14B°.....eq.2........substitute in eq.1

14B%2BB=90°..........eq.1

15B=90°
B=90%2F15°
B=6°
find angle A:
A=14B.....eq.2
A=14%2A6°
A=84°