Lines y and z are parallel. what is the measure of angle 2? 6 degrees 11 degrees 28 degrees 37 degrees

By the definition of supplementary, angle 1 equals 180 - 65 which is 115.  That means by the definitiion of alternate exterior angles that 10x + 5 is also equal to 115 (it is vertical with angle 1 so they are congruent).  We can solve for x now.  10x + 5 = 115 and x = 11.  Now that we know x we can use it in 4x - 7 to find the measure of that angle.  4(11) - 7 = 37.  Now we have 2 angles in the triangle that are 115 and 37.  180 - 115 - 37 = 28, which is the measure of angle 2.