Mathematics
In the given figure, tangents PQ and PR are drawn from an external point P to a circle such that ∠RPQ = 30°. A chord RS is drawn parallel to the tangent PQ. Find ∠RQS.
Circles
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Answer
Given,
RS || PQ,
∠TRS = ∠RPQ = 30° (∵ Corresponding angles are equal)
∠RQS = ∠TRS = 30° (∵ Angles in alternate segments are equal.)
Hence, value of ∠RQS = 30°.
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