SOLUTION: The points P, Q, R and S lie on the circumference of the circle, centre O. Angle QOS= 146° . Find angle QPS.

Question 1164415: The points P, Q, R and S lie on the circumference of the circle, centre O.
Angle QOS= 146° . Find angle QPS.

Found 2 solutions by ikleyn, solver91311:
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.

The inscribed angle QPS is leaning on the arc QRS, whose measure is the measure of the central angle QOS, i.e. 146°. Therefore, the measure of the inscribed angle QPS is HALF of the measure of the arc QRS, i.e. 146/2 = 73 degrees. ANSWER

Solved.

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

QPS measures 1/2 of QOS by the Inscribed Angle Theorem

John

My calculator said it, I believe it, that settles it

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