Question

In Fig. 6.30, if AB CD EF LCD and
GED= 126 find ZAGEZ GEF and ZFGE​

Answer 1

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

Answer 2

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