Answer: option D is the correct answer.
Step-by-step explanation:
The given figure is a kite. In a kite, the diagonal are perpendicular. It means that the diagonals meet at 90 degrees. Therefore,
Angle 1 = 90 degrees
Angle 3 = 90 degrees
Also, the sum of the angles in a triangle is 180 degrees.
Let x represent the third angle in the right angle triangle containing angle 1 and 50 degrees. It means that
50 + 90 + x = 180
140 + x = 180
x = 180 - 140 = 40 degrees
The pair of opposite sides and opposite angles are congruent. It means that
angle 2 = Angle x
angle 2 = 40 degrees
