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.

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, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.

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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