(In the picture, QRST looks like a rhombus, so I will assume that it is a rhombus.)
In a rhombus, opposite angles are congruent based on the alternate interior angle theorem. In other words, R and T along with Q and S are both alternate interior angle pairs. (You can actually test this by printing out a rhombus, cutting out the angles, and matching up the opposite ones.)
We know that Q is equal to 4x + 10, but we need to solve for x. Since Q and S are congruent, we can set them equal to each other: 1) 4x + 10 = 5x - 3 2) 4x + 13 = 5x 3) 5x = 4x + 13 4) x = 13 Now let's plug 13 in for Q: 5) 4(13) + 10 = 52+10 = 62
