Can somebody help me with these two questions please:)

Answers:

Problem 5)  RS = 7Problem 6)  x = 23.5

Explanations:

Problem 5) The equation to solve is (x+35)/2 = 21. This is because we average the two parallel bases x and 35, to get the length of the midsegment 21. You should end up with x = 7.Problem 6) Angles A and B are supplementary because of the same side interior angle theorem. It might help to extend out the parallel lines BC and AD. Also, extend out the transversal AB. Because the angles add to 180, the equation to solve is (5x-14)+(3x+6) = 180. It solves to x = 47/2 = 23.5