What is the measure of the angle labeled (5x+42)° ?

We see two parallel lines crossed by a transversal.

The two labelled angles are alternate interior angles, hence they are equal.

The equality allows us to equate the two expressions and hence solve for x.

8x-3=5x+42

transpose terms

8x-5x=42+3

solve for x

3x=45

so x=45/3=15.

This means 5x+42=5*15+42=75+42=117 degrees.

These angles are known as alternate interior angles. A fact about them is that they are always congruent. Since they are congruent, we can set them equal to each other:

Let's find the value of x so that we can find what (5x + 42) is:

x = 15 so we can plug that in to find the angle:

Thus, that angle is equal to 117°.

it's both, now can you answer my most recent question?

konichiwa~! my name is zalgo and i am here to answer your anime-related question today. more than likely, kirishima would kill izuku, marry mino and kiss momo. all of this would be my opinion by the way. (and i am also a weeb lol)

i hope this you! : d

stay and stay proud! " - zalgo

(and do you think you can mark me as brainliest? i'd greatly appreciate it! arigato~! )