Question

find x and y if middle angle of circle is 70​

Answer 1

From the given figure

InΔAOBandΔCOD

OA=OD[bothareradius]

OB=OC[bothareradius]

AB=DC[Chordareequal]

∴ΔAOB≅ΔCOD(bys−s−scongruent)

∴∠AOB=∠COD=70

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Now

InΔOCD

OC=OD(bothareradius)

then,∠ODC=∠OCD=x(Let)

∴sumofangleofΔ=180

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∴x+x+70

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=180

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⇒2x=180

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−70

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∴x=

2

110

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Hence

∠ODC=55

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∠OCD=55

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∠COD=70

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Hope it will help you ✌☺❣️

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