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8. Lines and Angles
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Q15 of 115 Page 8

AB and CD are two parallel lines. PQ cuts AB and CD at E and F respectively. EL is the bisector of ∠FEB. If ∠LEB =35°, then ∠CFQ will be

Given that,

AB ‖ CD and PQ cuts them


EL is bisector of ∠FEB


∠LEB = ∠FEL = 35o


∠FEB = ∠LEB + ∠FEL


= 35o + 35o


= 70o


∠FEB = ∠EFC = 70o (Alternate angles)


∠EFC + ∠CFQ = 180o (Linear pair)


70o + ∠CFQ = 180o


∠CFQ = 110o

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Questions · 115
8. Lines and Angles
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