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If Abcd is a Cyclic Quadrilateral in Which Ad || Bc. Prove that ∠B = ∠C. - Mathematics

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प्रश्न

If ABCD is a cyclic quadrilateral in which AD || BC. Prove that ∠B = ∠C.

योग

उत्तर

ABCD is a cyclic quadrilateral.
So, ∠A + ∠C = 180°        ...(i)

Since AD || BC
So, ∠B + ∠A = 180°       ....(ii)

From (i) and (ii)
∠A + ∠C = ∠B + ∠A
∠C = ∠B
or ∠B = ∠C
Hence proved.

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अध्याय 15: Circles - Exercise 1

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आईसीएसई Mathematics [English] Class 10
अध्याय 15 Circles
Exercise 1 | Q 10

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