Answer:
m∠KQR = 69°
Step-by-step explanation:
By the definition of intercepted arc and inscribed angle,
Intercepted arc measures the double of the inscribed angle.
m(arc KS + arc SR) = 2m∠KSR
132° + 90° = 2m∠KSR
m∠KSR = 111°
Since, quadrilateral KQRS is a cyclic quadrilateral,
m∠KSR + m∠KQR = 180°
111° + m∠KQR = 180°
m∠KQR = 180° - 111°
m∠KQR = 69°
m∠KQR = m∠Q = 69°
