Question

Angle ROS IS 42°. PQ is the diameter with centre O .
Find Angle RTS.​

Answer 1

Step-by-step explanation:

$m (arc \: RS) = m \angle \: ROS = 42° \\ now \\ \angle \: RTS \: = \frac{1}{2} \{m (arc \: PQ) - m (arc \: RS) \} \\ =\frac{1}{2} \{180 \degree - 42 \degree\} \\ =\frac{1}{2} \{138 \degree \} \\ \therefore \: \huge \fbox{ \angle \: RTS \: = 69 \degree}$