Answer:
m∠OPT = 32°
Step-by-step explanation:
From the picture attached,
m∠OTP = 90°
[Property: Tangent from a point outside the circle and radius of the circle are perpendicular]
QT║OP [Given]
OT is a transversal line,
Therefore, m∠QTO = m∠TOP = 58° [Interior alternate angles]
By applying triangle sum theorem in ΔTPO,
m∠OPT + m∠TOP + m∠OTP = 180°
m∠OPT + 90° + 58° = 180°
m∠OPT = 180° - 148°
m∠OPT = 32°
