हिंदी

In the given figure, ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If ∠DBC = 55° and ∠BAC = 45°, find ∠BCD.

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प्रश्न

In the given figure, ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If ∠DBC = 55° and ∠BAC = 45°, find ∠BCD.

In the following figure, ABCD is a cyclic quadrilateral. If ∠DBC = 55° and ∠BAC = 45°, find ∠BCD.

योग
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उत्तर

We have to find ∠BCD

Since angles in the same segment of a circle are equal

So ∠CAD = ∠DBC = 55°.

∠DAB = ∠CAD + angle BAC

= 55° +  45°

= 100°

Since ∠DAB + ∠BCD = 180°   ...(opposite angles of cyclic quadrilateral)

BCD = 180° −  100°

= 80°

Hence ∠BCD = 80°

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अध्याय 15: Circles - Exercise 15.5 [पृष्ठ १०३]

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आर.डी. शर्मा Mathematics [English] Class 9
अध्याय 15 Circles
Exercise 15.5 | Q 23 | पृष्ठ १०३
नूतन Mathematics [English] Class 10 ICSE
अध्याय 15 Circles
Exercise 15A | Q 34. | पृष्ठ ३३४

वीडियो ट्यूटोरियलVIEW ALL [3]

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