Answer:
Angle 1 = 15
Angle 2 = 90
Angle 3 = 66
Explanation:
Angle 3 is the easiest, just same angle on other side because the figure is symmetric (66).
Angle 2 is a right angle because the outside lines are congruent and line M equally connects them. The bisector goes right through the middle of the kite forming a 90 degree angle.
Angle 1 is 15 degrees, because of the right angle (Angle 2) and the symmetric 75 degree angle on the other half of the kite.
180 degrees in a triangle minus 90 minus 75 degrees equals 15 degrees.
(180 - 90 - 75 = 15)