the following angles are complementary angles. determine the measures of 5x+ 6 and x

Question

the following angles are complementary angles. determine the measures of  5x+ 6 and x

asnaseer · Answer

do you know what "complementary angles" means?

anonymous · Answer

Yes 90 degrees

asnaseer · Answer

correct.

so you are given two angles: 5x+6 and x

asnaseer · Answer

and you are told that they are complementary

asnaseer · Answer

so what can you say about them?

anonymous · Answer

So I have to get them to add up to 90 right, but how do I figure out what numbers to plug into the solution?

asnaseer · Answer

you are correct - so just form an equation - can you do that?

ghazi · Answer

complementary angles mean..sum of theirs = 90 degrees

ghazi · Answer

5x+6+x=90

ghazi · Answer

solve for x

anonymous · Answer

So how do I determine what number X is?

asnaseer · Answer

first try to simplify the sum

asnaseer · Answer

it looks like ghazi has done the initial work for you

asnaseer · Answer

so you have:

5x+6+x=90

add up the "like" terms here in order to simplify this - can you do that?

anonymous · Answer

5x^2+6=90?

asnaseer · Answer

$$5x + x \ne5x^2$$$$5x\times x=5x^2$$

asnaseer · Answer

you are adding here, not multiplying

asnaseer · Answer

think of this as "five apples plus one apple"

anonymous · Answer

I'm confused

asnaseer · Answer

what is: 5x + x = ?

asnaseer · Answer

in words this might be phrased as:

what is 5 lots of x plus another x equal to

anonymous · Answer

5x^2

asnaseer · Answer

no - that is the result of multiplying 5x by x

asnaseer · Answer

what is 5 lots of x plus another x equal to?

anonymous · Answer

6x

asnaseer · Answer

correct, so now, going back to the original problem, we had:

5x + 6 + x = 90

which you can simplify down to:

6x + 6 = 90

asnaseer · Answer

make sense so far?

anonymous · Answer

Okay

asnaseer · Answer

the next step would be to subtract 6 from both sides of the equation.

what do you get when you do that?

anonymous · Answer

6x=84?

asnaseer · Answer

perfect!

now you just need to divide both sides by 6

anonymous · Answer

14

anonymous · Answer

So x=14?

asnaseer · Answer

thats it! well done!

you can always double check to see if this is correct:

5x + 6 = 5*14 + 6 = 70 + 6 = 76
x = 14

so: 5x+6  +  x = 76 + 14 = 90

anonymous · Answer

So one angle is 76 and the other is 14 correct?

asnaseer · Answer

yes :)

anonymous · Answer

Thank you!

asnaseer · Answer

yw :)