Since this is a right triangle the two acute angles must sum to 90 degrees because a triangle's angles must sum to 180 degrees.
2x+50+3x=90
5x+50=90
5x=40
x=8
So the smallest angle is 3x=3*8=24°
one inch is 500 miles
therefore, every inch on the map is 500 miles.
8 inches would be 8*500
8*500=4000.
4000 miles is your answer.
Hope i helped!
Ps. brainliest would really help