Question

@AriPotta

Answer 1

it was something like this

Answer 2

if x=60 what is y+z

Answer 3

were all angles 60 degrees?

Answer 4

no

Answer 5

that was all that was given

Answer 6

do you answer choices

Answer 7

have *********

Answer 8

no it was a grid answer

Answer 9

ok so all triangles equal to what

Answer 10

180

Answer 11

did they say it was an equilateral triangle? or were the other two sides x as well?

Answer 12

nope that was it just the top angle that i labeled 60 was x

Answer 13

Write y and z in terms of the angles inside the triangle - it should then become obvious how to answer this

Answer 14

use exterior angle theorem

Answer 15

@sleepyjess - do you understand?

Answer 16

no

Answer 17

exterior angle theorem states that the exterior angle on a triangle is equal to the sum of the two opposite interior angles

Answer 18

i.e.:\[y=60+b\]\[z=60+a\]

Answer 19

now compute what y+z equals

Answer 20

wouldnt you have to know what a and b is though?

Answer 21

no - you will see in a minute why not - what does y+z equal?

Answer 22

y+z=120+a+b?

Answer 23

correct

now use the fact that the sum of the angles in a triangle equals 180

Answer 24

oooh i see now

Answer 25

and 180 = 60 + a + b, we know that a + b must equal 120

so 120 + 120, right?

Answer 26

yes - but I was hoping that @sleepyjess would answer this :)

Answer 27

oh ._. sorry

Answer 28

@sleepyjess - are you following along?

Answer 29

i think so

Answer 30

ok - great - let me know if you need any further explanation :)

Answer 31

which part confuses you @Nnesha ?

Answer 32

y+z=120+a+b?
180 = 60 + a + b <----------------- this part x+y+z = 180 right

Answer 33

these add up to 180