the angles you have to find are vertical angles to the equations that are given. a vertical angle is an angle that is directly across from another.
angle 1 is equal to 4x+10
angle 2 is equal to 8x-25
since this is a transversal,
4x+10=8x-25
then just solve for x.
x= 8.75
then substitute 8.75 wherever you see x.
4(8.75)+10 = 45
8(8.75)-25= 45
going back to the vertical angle rule, both angle 1 and 2 are equal to 45°