SOLUTION: The measure of an angle is fourteen times the measure of a complementary angle. What is the measure of each angle? How do I even begin! I understand that a complementary angle equ

Question 583727: The measure of an angle is fourteen times the measure of a complementary angle. What is the measure of each angle?
How do I even begin! I understand that a complementary angle equals 90', and that 14x90=1260...but I have to find two angle measurements....do i divide it in half? HELP!
Found 2 solutions by solver91311, lwsshak3:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

What possessed you to multiply 14 times 90?

Let represent the measure of the complement of the angle. Then the angle being 14 times larger must measure , and since the sum of an angle and its complement is , we can write:

Just solve for and then calculate either or .

By the way, I set the problem up with representing the complement for a particular reason. I could have made represent the angle itself just as easily. Your assignment is to set up the problem that way and see if you can guess why I chose to do it the way I did.

John

My calculator said it, I believe it, that settles it

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The measure of an angle is fourteen times the measure of a complementary angle. What is the measure of each angle?
How do I even begin! I understand that a complementary angle equals 90', and that 14x90=1260...but I have to find two angle measurements....do i divide it in half?
**
let x=an angle
90-x=complement of the angle
..
x=14(90-x)
x=1490-14x
15x=1490
x=84� (measure of angle)
90-x=90-84=6� (measure of angle's complement)
Check: 84� is 14 times 6�
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