Find the measure of angle 5. . measure of angle 7 = 2x+15. measure of angle 8 = 3x.

There exists the same question with an attachment where angle 8 and 7 are supplementary and angle 7 and 5 are vertical angles. From this, the equation that we may derive from the given is,
                              (2x + 15) + (3x) = 180
The value of x is 33. Substitute this value to x of angle 7, 2(33) + 15 = 81. Thus, the measure of angle 5 is also 81 degrees.