Answer:
m<2 = 27°
Step-by-step explanation:
m<1 = 63° (given)
m<QTR = m<1 (alternate interior angles are congruent)
m<QTR = 63° (Substitution)
m<QRT = 90° (right angle)
m<2 + m<QRT + m<QTR = 180°
m<2 + 90° + 63° = 180° (substitution)
m<2 + 153° = 180°
Subtract 153° from each side
m<2 = 180° - 153°
m<2 = 27°
