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O is the centre of the circle. CD is a side of a regular octagon. ∠COD = 45°, AB is a side of a regular pentagon. Find ∠AOB. - Mathematics

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Question

O is the centre of the circle. CD is a side of a regular octagon. ∠COD = 45°, AB is a side of a regular pentagon. Find ∠AOB.

Options

  • 60°

  • 80°

  • 72°

  • 40°

MCQ
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Solution

72°

Explanation:

Step 1:

A regular pentagon has n = 5 sides.

Step 2:

The angle ∠AOB is given by `360^circ/n`

`∠AOB = 360^circ/5`

Step 3:

∠AOB = 72°

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Chapter 14: Circles (Chord and Arc Properties) - MULTIPLE CHOICE QUESTIONS [Page 179]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 14 Circles (Chord and Arc Properties)
MULTIPLE CHOICE QUESTIONS | Q 9. | Page 179
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