हिंदी

In the given figure, O is centre of the circle, AB // DC and ∠ACD = 32°, ∠DAB is equal to:

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प्रश्न

In the given figure, O is centre of the circle, AB // DC and ∠ACD = 32°, ∠DAB is equal to:

The image displays a circle with center $O$, parallel chords $CD$ and $AB$ marked with arrowheads, and an angle $\angle ACD = 32^\circ$. It illustrates circle geometry problems involving parallel lines, alternate interior angles, and angle relationships within a circle.

विकल्प

  • 122°

  • 148°

  • 90°

  • none of the above

MCQ
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उत्तर

122°

Explanation:

Join DA.

From figure,

In △DAC,

∠DAC = 90° (Angle in semicircle is a right angle)

As, alternate angles are equal.

∴ ∠CAB = ∠ACD = 32°

From figure,

∠DAB = ∠DAC + ∠CAB = 90° + 32° = 122°

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अध्याय 17: Circles - EXERCISE 17 (A) [पृष्ठ २५७]

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सेलिना Concise Mathematics [English] Class 10 ICSE
अध्याय 17 Circles
EXERCISE 17 (A) | Q 1. (e) | पृष्ठ २५७
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