Question

i give medals

Answer 1

Which relationship is always true for the angles r, x, y, and z of triangle ABC?

x + z = y
180 degrees − x = r
x + y + z = 180 degrees
x + y + z = 90 degrees

Answer 2

sum of angles in a triangle = ?

Answer 3

sum of angles on a straight line = ?

Answer 4

??????????

Answer 5

do you know the answers to my questions?

Answer 6

it's what you'll need to solve the question you posted

Answer 7

straight line is 90?

Answer 8

no

Answer 9

180 :D

Answer 10

it should all equal 180 :)

Answer 11

ok,
so which of the angles x,y,z,r lie on a straight line?

Answer 12

x?

Answer 13

L and M are angles that lie on a straight line

Answer 14

ok

Answer 15

similarly, there are angles lying on a straight line in your figure. can you recognize them?

Answer 16

x and r lie on a straight line

Answer 17

exactly!! :D

Answer 18

so its b

Answer 19

why do you say its b?

Answer 20

i dont know i think it just makes sense somehow but dont know why :(

Answer 21

angles on a straight line add up to 180
so
x+r=180

do you understand this?

Answer 22

ohhhhhhh yeah i do

Answer 23

so its c because x+y+z=90 so then with the addition of r you get 180

Answer 24

ok now we do a little algebra

look at option b

180 - x= r

Answer 25

add x to both sides of the equation, what do you get?

Answer 26

90?

Answer 27

add 'x' to both sides

Answer 28

oh 180

Answer 29

:/ you haven't understood algebra

Answer 30

i still say it is c

Answer 31

I wish I could say "go with your gut feeling"
but math dosen't work this way. you will have to pay attention and learn algebra at some point. its not very hard, good luck :)

Answer 32

thanks