Question

HELP PLEASE HELP! ASAP. ∠x and ∠y are complementary. If m∠x = a + 3 and m∠y = 2a + 6, what is the measure of ∠x?

Answer 1

do you know what "complementary" means?

Answer 2

It adds up to 90

Answer 3

ok good, so lets add them and set the result equal to 90

Answer 4

\[\large a+3+2a+6=90\]

Answer 5

know how to solve this one?

Answer 6

combine like terms on the left and get
\[3a+9=90\] then subtract 9 and get
\[3a=81\] divide by 3 and get \(a=27\) but don't forget we solved for \(a\) and you still need \(x\)

Answer 7

since \(x=a+3\) and \(a=27\) you have \(x=27+3=30\)

Answer 8

???????????????

Answer 9

confused?

Answer 10

Totes. What do you do after that?!

Answer 11

ok, you got that they had to add up to 90 right?

Answer 12

Yes.

Answer 13

so when you add them you get
\[a+3+2a+6=90\] ok so far?

Answer 14

Yes, after that?

Answer 15

combine like terms
\(a+2a=3a\) and \(3+6=9\) so
\[a+3+2a+6=3a+9\]

Answer 16

this gives you
\[3a+9=90\]

Answer 17

ok to that step?

Answer 18

Yes!

Answer 19

ok good, now we have to solve for \(a\)

Answer 20

\[3a+9=90\] subtract \(9\) from both sides to get \[3a=81\] then divide both sides by \(3\) to find
\[a=27\] ok so far?

Answer 21

Yes!

Answer 22

now don't forget the question says "what is the measure of angle \(x\)?"

Answer 23

we know that \(a=27\) and we also know that \(x=a+3\)
replace \(a\) by \(27\) and get
\[x=27+3\]

Answer 24

I think I got it, is it 30?

Answer 25

yup

Answer 26

Thank you!

Answer 27

yw, hope steps are clear

Answer 28

They sure were!