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211. In the given figure. RS is a diameter of the circle, NM is parallel to RS and ∠MRS = 29°, find the measure of ∠NMS.

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212. In the above figure, chords BD and AC intersect at the point E such that ∠BEC = 130° and ∠ECD = 20°. Find the measure of ∠BAC:

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Solution not provided.

Ans. 120°

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214. In the given figure, ABCD is a cyclic quadrilateral in which AB || DC. If ∠BAD = 105°, find (i) ∠BCD (ii) ∠ADC (iii) ∠ABC.

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215. In the given figure, if AOB is a diameter of a circle, with centre O. ∠EBD = 15° and ∠ACD = 120°, find the measure of ∠ABE.

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216. In the figure, ∠ABC = 45°, prove that OA is perpendicular to OC

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217. In figure, if ∠ADC = 128°, and ∠DBC = 32°, find ∠DCB.

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218. How many tangents can a circle have?

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219. A tangent to a circle intersects it in ___________ point(s).

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220.

A line intersecting a circle in two points is called a ____________.

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