Angles help?

1 Answer
CW
Apr 22, 2018

see explanation

Explanation:

enter image source here
Given that RST is tangent to #C_1, => angleOST=90^@#,
given that #angleQST=46^@#,
#=> angleOSQ=90-46=44^@#,
as #OS=OQ, => angleOQS=angleOSQ=44^@#,
#=> angleQOS=180-44-44=92^@#,
We know that the angle subtended by the diameter of a circle is always #90^@#,
since #QOS != 90^@#,
#SQ# is not the diameter of circle #C_2#

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