Question

How do you figure this out?

Answer 1

Question

Answer 2

you can do it in steps:
remember a straight line is 180º , so you can find the angle next to the 145º, which is inside the triangle.
Can you do that ?

Answer 3

Yes wouldn't that equal 35º ?

Answer 4

now you know 2 angles out of 3 in the triangle

next step
what is the 3rd angle ? use sum of angles in a triangle = 180º

Answer 5

do I add up all angles to equal 180 degrees?

Answer 6

you write
35 + 120 + y = 180
where y is the 3rd (unknown) angle
can you find y ?

first simplify 35+120 = 155
155 + y = 180
add -155 to both sides to find y

Answer 7

or you could count on your fingers how many degrees do you add to 155 to get to 180 ?

Answer 8

the last step is that the 3rd angle (called y up above) plus x is a straight line
so
y + x = 180

once you know what y is, you can find x

Answer 9

Wait .-. what? im so confused I got y = 35 degrees?

Answer 10

system is back...
let's check y= 35
35 + 120 + y = 180
35 + 120 + 35 = 190 which is 10 too big.
try y= 25 degrees

now you have the angle next to x. 25 + x = 180 (a straight line)
can you find x ?

Answer 11

another way is to know angle x is an "exterior angle"
the exterior angle = the sum of the opposite interior angles
so x= 35+120 = 155

notice that 25+x= 180 and 25+155= 180, as a check

Answer 12

Oh alright :) thank you