If in the quadrilateral ABCD, the degree of a + C is equal to () A. 108°B. 180°C. 144°D. 216°

If in the quadrilateral ABCD, the degree of a + C is equal to () A. 108°B. 180°C. 144°D. 216°


In quadrilateral ABCD, according to the theorem of sum of internal angles, the solution of X + 2x + 4x + 108 = 360 is obtained: x = 36 ∠ a = 36 °, C = 144 °, C = 36 + 144 = 180 °



It is known that in the quadrilateral ABCD, ∠ A and ∠ C complement each other, then ∠ A: ∠ B: ∠ C: ∠ D may be equal to


Angle A: angle B: angle c: angle d = 1:1:2:2 or 1:1:1:1, because it may be isosceles trapezoid or rectangle or square



Given that angle A and angle c complement each other in quadrilateral ABCD, what is the ratio of angle a to angle B to angle c to angle D?
A 1:2:3:4 B 1:3:2:4 C 1:4:2:3 D 1:3:4:2


Choose [D] 1:3:4:2