consecutive interior angle

[teal igloo]

How can i find an X value from this?

[drowsy token]

Forget about everything and stick to x

Imagine you have a line which one part is 150

What is going to be the second angle?

[teal igloo]

75?

[teal igloo]

So the second line is gonna be 75?

[pure rune]

Remember the total angle of straight line is 180 degrees. If we already used up 150 degrees of the 180 how much is left for x?

[zealous pelican]

a straight line with 3 points A, B and C on it (B is in the middle of A and C) => angle ABC = 180

sooo

x is just 180 - 150

[random flame]

Google complementary and corresponding/co-interior angles

[zealous pelican]

so true

[fossil tide]

for x vertically opposite angles are equal so that means the answer for x is just 150+150+x+x. 2x+300=360 solve for x and you get 30 since you have x to find y you use the rule that co-interior angles add up to 180 so 180-30=150 so y=150.