Angles help?

1 Answer
Apr 22, 2018

see explanation

Explanation:

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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