As shown in the figure, fold the paper △ ABC along De, point a falls at a ′, ∠ 1 + ∠ 2 = 150 °, then ∠ a=______ .

As shown in the figure, fold the paper △ ABC along De, point a falls at a ′, ∠ 1 + ∠ 2 = 150 °, then ∠ a=______ .

As shown in the figure, ∵ fold the paper △ ABC along De, and point a falls at a ′, ∵ 3 = ∵ 4, ∵ 5 = ∵ 6, and ∵ 1 + ∵ 3 + ∵ 4 = 180 °, ∵ 2 + ∵ 5 + ∵ 6 = 180 °, ∵ 1 + ∵ 2 + 2 ∵ 3 + 2 ∵ 5 = 360 ° and ∵ 1 + ∵ 2 = 150 °, ∵ 3 + ∵ 5 = 105 °, ∵ a = 180 ° - ∵ 3 - ∵ 5 = 75 °