Question

IN FIG 6.30,if AB||CD,EF 1 CDand ∆GED=126° find ∆AGE,∆GEF ∆FGE
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Answer 1

Step-by-step explanation:

1. AGE=126⁰(by alternate interior property)
2. GEF=36⁰(by 126⁰-90⁰)
3. FGE=54⁰(by180⁰-126⁰)

Answer 2

Step-by-step explanation:

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GED = AGE = 126° (As they are alternate interior angles)

Also,

GED = GEF +FED

As EF⊥ CD, FED = 90°

∴ GED = GEF+90°

Or, GEF = 126° – 90° = 36°

Again, FGE +GED = 180° (Transversal)

Putting the value of GED = 126° we get,

FGE = 54°

So,

AGE = 126°

GEF = 36° and

FGE = 54°