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In Fig. 6.30, if AB CD EF LCD andGED= 126 find ZAGEZ GEF and ZFGE |
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Answer» Step-by-step explanation: GEF + FEG = GED EF ? CD so that FED = 90 And given that GED = 126 GEF + 90 = 126 GEF = 126- 90 GEF = 36 AB || CD, EF ? CD so EFG = 90 Use angle sum property of triangle (sum is 180) GEF + EFG + FGE = 180 Plug the values we GET 36+ 90+ FGE = 180 FGE = 180 36- 90 FGE = 54 AB is a straight line so that use linear pair property AGE +FGE = 180 Plug the value of FGE = 54 We get AGE +54= 180 AGE = 180- 54 AGE = 126 |
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