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In a Cyclic Quadrialteral Abcd , If M ∠ a = 3 (M ∠C). Find M ∠ A. - Mathematics

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प्रश्न

In a cyclic quadrialteral ABCD , if m ∠ A = 3 (m ∠C). Find m ∠ A.

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उत्तर

m ∠ A = 3 (m ∠C)

∠ A + ∠ C = 180 (Opposite angles of a cyclic quadrilateral)

3∠C + ∠ C = 180

4 ∠ C = 180

∠ C = 45

m ∠ A = 3 (m ∠ C)

= 3 × 45

= 135

m ∠ A = 135°

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पाठ 17: Circles - Exercise 17.2

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