Question

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Answer 1

Answer:

x = 35°

Step-by-step 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

Answer:

x = 35

Step-by-step 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!