<span>x = angle 90 - x = measure of complement of x 180 - x = measure of supplement of x From the information given in the problem, we get this: 180 - x = 7 (90 - x) 180 - x = 630 - 7x -x + 7x = 630 - 180 6x = 450 x = 450/6 x = 75. Now we prove that x = 75° is the correct angle: x = 75° = measure of angle 90° - 75° = 15° = meaure of complement 180° - 75° = 105° = 7 (15°)</span>
Midsegments are line segments that connect the midpoints of a triangle. If we have the condition that QR = NP, we have the equation 3x + 2 = 2x + 16 Solving for x 3x - 2x = 16 - 2 x = 14 Therefore, x is 14. <span />