Answer:
x = 12°
m∠2 = 96°
Find the missing inside angle for right triangle:
180° - 132°
48°
Find the missing angle for left triangle:
90° - 48°
42°
As it is an isosceles triangle, the angles will be similar.
Thus solve:
9x - 12 + 42° + 42° = 180°
9x + 72° = 180°
9x = 180° - 72°
9x = 108°
x = 108°/9
x = 12°
Therefore m∠2 :
m∠2 = 9x - 12
m∠2 = 9(12) - 12
m∠2 = 96°
