This figure shows circle O with diameter QS . mRQS=290∘ What is the measure of ∠ROS ?

enter image source here

2 Answers
Jun 9, 2017

The situation described seems to be impossible.

Explanation:

The ambiguity in my response is based on the 4 non-displayable characters following "mRQS".

If I ignore these characters so the question claims /_RQS=290^@
then the situation is impossible. If QS is a diameter then for any point R on the circumference, /_QRS = 90^@; but combined with /_RQS=290^@ this implies that the interior angles of such a triangle exceed 360^@

Jun 10, 2017

m/_ROS=70^@

Explanation:

m/_RQS=290^@ means that the arc hat(RQS) subtends an angle of 290^@ at the centre.

As the complete circle is 360^@

/_ROS is 360^@-290^@=70^@