What is given to us in the question is the biggest key to the puzzle here. The question says that MP = PR, meaning that the large triangle in the middle is an isosceles triangle, which means that angles PMR and PRM are going to be equal. Since angle MPQ is equal to 180 degrees (it is a straight line), we can also find that angle MPR is 120 degrees, because 180 – 60 = 120. This means that the equation that we can make to solve for angle QMR (which is the same thing as PMR) is 2x + 120 = 180. In this equation, x is the angle of QMR and it is being added to 120 and set to equal 180 because all of the angles in a triangle must add up to 180. When we solve for x we get 30, which is the correct answer.