Question

Find the value of x and y. Picture attached below.

Answer 1

And please don't just tell me the answer, I want to know how please! :)

Answer 2

i have no idea
sorry.
no hard feelings?

Answer 3

Okay, that's alright. Thanks for trying!

Answer 4

Notice that these 2 angles are congruent which means



those angles are the same

Answer 5

so a line has 180 degrees so you can write it like this

5x + (14x -10) = 180
and 2y +(14x -10) = 180

Answer 6

from here you can solve for x and y

Answer 7

Oh! Thanks! And I know how you determined that the angles 2y and 5x are equal to each other, but how could you tell which ones were congruent with the remaining 3 angles??

Answer 8

so because those lines show they are parallel you can see 2y = 5x
so that small triangle formed from the intersection of the 2 angles have the same properties




so that angle has the same kind of pararrel lines as the original angle, hope you get what im saying lol im kinda bad at explaining this