Explanation: 1- solving for x: When two lines intersect, the vertically opposite angles formed would be equal. In the given, we have two intersecting lines, therefore: ∠AEB = ∠CED (vertically opposite angles) 2x + 50 = 7x 7x - 2x = 50 5x = 50 x = 50/5 x = 10
2- getting the measure of the angle: We know that: ∠AEB = 2x + 50 x = 10 Therefore: ∠ AEB = 2(10) + 50 ∠AEB = 20 + 50 = 70°