Question

How would you solve these types of geometry questi

Answer 1

Answer:

X=13

Step-by-step explanation:

Basically you  want to solve for x

If you look at the image it has a striaght line... A striaght line in Angles means both Angles ADDED together need to be equal to 180.

so we will write it like this (11x-15)+(5x-13)=180

to solve you need to isolate X to do that you need to move some number around but first lets take these numbers out of parenthesis...

11x-15+5x-13=180

Now we need to combine liked terms

our liked terms are 5x and 11x

and -15 and -13

add 5x and 11x= 16x

and add -15 and -13= -28

16x-28=180

Now we need to move a number

easiest number to move is -28

to do so we need to add 28 on both sides to cancel it out from one side.

-28+28=0

180+28=208

16x=208

now we need to isolate x

meaning now we need to divide 16 on both sides...

16/16 =1

1 is same as X because X is one

so it will just be x

208/16=13

x=13

now we need to plug it in to each of the original equations and check our answer

(11(13)-15)= 11*13= 143  143-15= 128

(5(13)-13) = 5*13=65  65-13= 52

now lets see if both of these answers added together equal 180

128+52=180

yes it does so it is correct X = 13