Question

In a cyclic quadrilateral, <A = 3<C = 5<B, find the measures of <A and <D​

Answer 1

Answer:

Answer

Given , cyclic quadrilateral ABCD

So ,∠A+∠C=180

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[ Opposite angles is cyclic quadrilateral is supplement ]

3∠C+∠=180

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[ As ∠A=3∠C]

∠C45

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Now ,

∠A=3∠C=3×45

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∠A=135

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Similarly,

∠B+∠D=180

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[As \angle D = 5 \angle B $$ ]

∠B+5∠B180

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6∠B=180

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∠B30

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Now,

∠D=5∠B=5×30

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∠D=150

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Therefore,

∠A=135

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,∠B=30

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,∠C=45

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,∠D=150