if angle 1= 4x+10 and angle 7= 6x+4 what are the measures of angles 1 and 7, when we know that angle 3= 52 degrees?

Angle 1= 10.5
Angle 2= 128
Angle 3= 52
Angle 4= 128
Angle 5= 10.5
Angle 6= 128
Angle 7= 20.6

Are all these angles right?

Without a figure that shows what angles and you are talking about, I have no idea. We are not clairvoyant here.

The bases of a trapezoid have measures of 16 and 8. Find the measure of the median.

To find the measures of angles 1 and 7, we can use the fact that the sum of angles on a straight line is 180 degrees. Given that angle 3 is 52 degrees, we can find the measures of angles 1 and 7 by subtracting angle 3 from 180 and dividing the result by 2.

Angle 1 = (180 - angle 3) / 2 = (180 - 52) / 2 = 128 / 2 = 64 degrees

Angle 7 = (180 - angle 3) / 2 = (180 - 52) / 2 = 128 / 2 = 64 degrees

So, the measures of angles 1 and 7 are both 64 degrees.

Based on the information you provided about the measures of the other angles (angle 2 = 128 degrees, angle 4 = 128 degrees, angle 5 = 10.5 degrees, angle 6 = 128 degrees), it seems that the measures of angles 1, 2, 4, 5, 6, and 7 are all correct.