measure of angle 1 = 70 degrees (corresponding angle postulate)
measure of angle 3 = 60 degrees (the measure of angle BCA is 70 degrees, because the angles in a triangle add up to 180 degrees. 70 + 50 = 120, and the measure of the straight angle is 180 degrees. 180 - 120 = 60 degrees for the measure of angle 3)
measure of angle 5 = 70 degrees (angle 5 is vertical angles with angle BED, which has a measure of 70 degrees because the angles of a triangle add up to 180 degrees, and vertical angles have equal measures)
measure of angle 4 = 60 degrees (the measure of angle 5 is 70 degrees, and subtracting 70 + 50 from 180 gives you the remaining angle measure, which is 60 degrees)
measure of angle 2 = 110 degrees (angle 2 and angle BED are supplementary angles, so their measures add up to 180 degrees. 180 - 70 = 110)