3. In figure, AB 11 CD, EF l. CD and L GED = 126°, find LAGE, L GEF and L FGE.
Harshit Singh , 4 Years ago
Grade 12th pass
1 Answers
Pawan Prajapati
Last Activity: 4 Years 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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