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Ab is a Diameter of the Circle Apbr as Shown in the Figure. Apq and Rbq Are Straight Lines. - Mathematics

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प्रश्न

AB is a diameter of the circle APBR, as shown in the figure. APQ and RBQ are straight lines. Find : ∠BPR

योग

उत्तर


∠ABP = 90° – ∠BAP

= 90° – 35°

= 55°

∴ ∠ABR = ∠PBR – ∠ABP

= 115° – 55°

= 60°

∴ ∠APR = ∠ABR = 60°

(Angles subtended by the same chord on the circle are equal)

∴ ∠BPR = 90° – ∠APR

= 90° – 60°

= 30°

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अध्याय 17: Circles - Exercise 17 (A) [पृष्ठ २६०]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 17 Circles
Exercise 17 (A) | Q 29.3 | पृष्ठ २६०

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