Given: AB is perpendicular to BD. Find m<1
See picture for full problem. Please and thank you!

Step-by-step explanation:
angle 5 = supplementary to 89 = 180-89 = 91°
the sum of all angles in a triangle is always 180°.
so,
angle 3 = 180 - 51 - 91 = 38°
angle 2 = complementary to 38 = 90-38 = 52°
therefore,
angle 1 = 180 - 38 - 52 = 90°