Angles help?

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Angles help?

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Answer 1 · 2018-04-22T01:48:44

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Explanation:

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Given that RST is tangent to $C_{1}, \Rightarrow ∠ O S T = 90^{\circ}$ $C_1, => angleOST=90^@$ ,
given that $∠ Q S T = 46^{\circ}$ $angleQST=46^@$ ,
$\Rightarrow ∠ O S Q = 90 - 46 = 44^{\circ}$ $=> angleOSQ=90-46=44^@$ ,
as $O S = O Q, \Rightarrow ∠ O Q S = ∠ O S Q = 44^{\circ}$ $OS=OQ, => angleOQS=angleOSQ=44^@$ ,
$\Rightarrow ∠ Q O S = 180 - 44 - 44 = 92^{\circ}$ $=> angleQOS=180-44-44=92^@$ ,
We know that the angle subtended by the diameter of a circle is always $90^{\circ}$ $90^@$ ,
since $Q O S \neq 90^{\circ}$ $QOS != 90^@$ ,
$S Q$ $SQ$ is not the diameter of circle $C_{2}$ $C_2$

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Angles help?

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