Question

Based on the figure below, what is the value of x?

A right angle is shown divided in two parts. The measure of the angle of one part is 30 degrees and the measure of the other part is 5x plus 15 degrees.
3
9
12
15

Answer 1

@MARC_

Answer 2

@sammixboo

Answer 3

@jigglypuff314

Answer 4

@TheSmartOne @thomaster @Callisto

Answer 5

@JoannaBlackwelder @Mashy

Answer 6

Hello @JoannaBlackwelder

Answer 7

Do you know what the square means?

Answer 8

90 degrees

Answer 9

Hi @TheSmartOne

Answer 10

Right, so can you think of an equation we can write?

Answer 11

not really, im only in 7th grade, they dont teach me much of this

Answer 12

Ok, the idea is that the sum of angles that make a larger angle is the measure of the larger angle.

Answer 13

........................................................................................... OK

Answer 14

So, we can write
(5x + 15) + 30 = 90

Answer 15

ok

Answer 16

Do you see how I wrote that equation?

Answer 17

in parentheses

Answer 18

What about the parentheses?

Answer 19

u have to do them 1st

Answer 20

Yep, but do you see how I put the equation together?

Answer 21

in order

Answer 22

That is true.

Answer 23

okay

Answer 24

Do you see how to summed up the two angles that make up the larger angle?

Answer 25

yes

Answer 26

Ok, cool. Any ideas how to solve for x from here?

Answer 27

no i suck at math all i know is that 1+1=2

Answer 28

Ok. I bet you know what 1+2 is too. ;-)

Answer 29

-.-

Answer 30

So, since there isn't anything we can simplify in the parentheses, we can remove it:
5x+15+30=90

Answer 31

okaay

Answer 32

Then we can combine like terms.

Answer 33

Do you see any like terms?

Answer 34

what is that

Answer 35

Like terms are terms that have the same number of x's.

Answer 36

then i see no like terms

Answer 37

15 and 30 are like terms in this equation.

Answer 38

oh ok cos they have no x's

Answer 39

Right.

Answer 40

ok

Answer 41

So, 15+30=45

Answer 42

yes

Answer 43

5x+45=90

Answer 44

aha

Answer 45

:-)

Answer 46

So, we have more like terms, but they are on opposite sides of the equal sign.

Answer 47

is that the answer?

Answer 48

No, not yet

Answer 49

okay OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOH I SEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE NOWWWWWWWWWWWWWWWWWWW

Answer 50

:D

Answer 51

:D

Answer 52

So, to move the like terms together we need to: