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3. In figure, AB 11 CD, EF l. CD and L GED = 126°, find LAGE, L GEF and L FGE.

3. In figure, AB 11 CD, EF l. CD and L GED = 126°, find LAGE, L GEF and L FGE.

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 9723 Points
10 months ago
AB II CD and GE is transversal. .. LAGE = LGED [Alternate angles] => AGE = 126°. Fwther, LGED = LGEF + LFED => 126° = LGEF + 90° [•: EF l. CD] => LGEF = 126° - 90° = 36°. Again, AB II CD and GE is transversal. • LFGE + LGED = 180° [Sum of interior angles on the same side of transversal is 180°.] => LFGE + 126° = 180° :::::) LFGE = 180° - 126° = 54°.

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