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

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2 Answers
Jun 9, 2017

Answer:

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

Answer:

#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^@#