Question

In figure, if AB is parallel to CD, EF is perpendicular to CD and angleGED= 126°. Find angleAGE , angleGEF and angleFGE​

Answer 1

AGE=∠GED=126

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(Alternate angles)

∠GED=∠GEF+∠FED

126

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=∠GEF+90

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∠GEF=126

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−90

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=36

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∠CEG+∠GED=180

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(Supplementary angles)

∠CEG+126

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=180

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∠CEG=180

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−126

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=54

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∠FGE=∠CEG=54

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(Alternate angles )

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