हिंदी

In the given figure, AB is the diameter of a circle with centre O.∠BCD = 130°. Find: ∠DAB ∠DBA - Mathematics

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प्रश्न

In the given figure, AB is the diameter of a circle with centre O.
∠BCD = 130°. Find:

  1. ∠DAB
  2. ∠DBA

योग

उत्तर

i. ∠DAB + ∠BCD = 180°   ...(Opposite angle of a cyclic quadrilateral)

∠DAB + 130° = 180°


∠DAB = 180° – 130°

∠DAB = 50°

ii. ∠ADB = 90°   ...(Angle in semicircle)

In ΔADB,

∠DAB + ∠ADB + ∠DBA = 180°   ...(Angle sum property)

50° + 90° + ∠DBA = 180°

∠DBA = 180° – 140°

∠DBA = 40°

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अध्याय 15: Circles - Exercise 2

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आईसीएसई Mathematics [English] Class 10
अध्याय 15 Circles
Exercise 2 | Q 29

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