to find the measure of angle NOP you must solve for x. to find x you can use the triangle angle sum theorem which states that all angles in a triangle sum to 180 degrees. Using this you can set up the equation, 180= 82 + 10x + 4x, then solve using algebra. 98=14x. 98 divided by 14 equals 7 which equals x. However, this is not the answer because angle NOP equals 4x so 7 multiplied by 4 equals 28