Answer asap! : )
what is the value of x?

work shown:

line m is parallel to line n. the same side interior angles of 45 and (2x-5) degrees will add to 180 degrees, as these two angles are supplementary. in other words, they form a straight angle.

add up the two angles, set the result equal to 180, solve for x

45 + (2x - 5) = 180

45 + 2x - 5 = 180

2x + 45 - 5 = 180

2x + 40 = 180 combine like terms

2x + 40 - 40 = 180 - 40 subtracting 40 from both sides

2x = 140

2x/2 = 140/2 dividing both sides by 2

x = 70

we see that if x = 70, then 2x-5 = 2*70-5 = 140-5 = 135 is the bottom angle. which if added to the top angle, it leads to 45+135 = 180. so that confirms we have the right answer. another way to confirm is to plug x = 70 into the original equation above to get

45 + (2x - 5) = 180

45 + (2*70 - 5) = 180

45 + 140 - 5 = 180

185 - 5 = 180

180 = 180

and this also confirms the answer

i believe the answer is the polygon, heptagon.