Question

Pls solve this for me!

Answer 1

x = 15

y = 60

Explanation:

We know that the bottom two angles are alternate interior angles, so (2y - 5) and (x + 50) added together will be 180 degrees.

We can also see that (x + 50) and (3x + 20) will be equal, because they are the same angle along the parallel lines.

So, we can simplify the expression.

`(x + 50) = (3x + 20)`

`(x + 50 - 20) = (3x + 20 - 20)`

`(x + 30) = (3x)`

`(x + 30 - x) = (3x - x)`

`(30) = (2x)`

`(30 / 2) = (2x / 2)`

`(15) = (x)`

`x = 15`

So, now we know x = 15. Then, we need to solve for (x + 50). We know 15 + 50 = 65, so that angle is 65 degrees.

We know that that angle, added to the value of (2y - 5) will equal 180, so we can subtract 65 from 180.

`180 - 65 = 115`

`(2y - 5) = 115`

`(2y - 5 + 5) = 115 + 5`

`(2y) = 120`

`(2y / 2) = 120 / 2`

`(y) = 60`

`y = 60`