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
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How do I even begin! I understand that a complementary angle equ
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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):
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
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?
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let x=an angle
90-x=complement of the angle
..
x=14(90-x)
x=1490-14x
15x=1490
x=84º (measure of angle)
90-x=90-84=6º (measure of angle's complement)
Check: 84º is 14 times 6º
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