Question

Help help help help please business

Answer 1

x = 35°

Explanation:

These are corresponding angles. When a transversal crosses 2 parallel lines, 4 angles are created at each intersection, and each pair of corresponding angles between those are congruent.

These angles are congruent, so you can set them equal to each other:

`2x+20=3x-15`

Then, just solve for x:

`20=x-15\\35=x\\x=35`

You can check that by plugging it back into both:

`2x+20=3x-15\\2(35)+20=3(35)-15\\70+20=105-15\\90=90`

Answer 2

x = 35

Explanation:

The angles shown are corresponding angles

Corresponding angles are congruent ( equal to each other )

This means that 2x + 20 should equal 3x - 15

Note that we've just created an equation that we can use to solve for x

We know use that equation to solve for x

2x + 20 = 3x - 15

add 15 to both sides

2x + 35 = 3x

subtract 2x from both sides

35 = x

And we are done!