see complementary angles means their addition would always be equal to 90° so here 
given is 1 and 2 are complementary so 1 + 2 = 90°
NOW here the angle adjacent to 2 is a right angled triangle and the line bisecting and dividing those 2. 1 and 2 angle is a straight and linear thus it will be 
angle 2 + that right angle + angle 3 = 180 
we already know that second one is right angled thus 
angle 2 + angle 3 = 180-90 
and hence 2+3 = 90 they are complementary too