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Quantitative Aptitude

Lines and Angles

AB and CD are...

Question

AB and CD are two parallel lines. PQ cuts AB and CD at E and F respectively. EL is the bisector of $∠ B E F$ . If $∠ L E B = 35^{\circ}$ then $∠ C F Q$ will be:

70^{\circ}

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55^{\circ}

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110^{\circ}

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125^{\circ}

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Solution

The correct option is C $110^{\circ}$
$∠ B E F = 2 ∠ B E l = 70^{\circ}$
$∴ ∠ C F Q = ∠ E F L = 180^{\circ} - 70^{\circ} = 110^{\circ}$

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

The correct option is C 110∘∠BEF=2∠BEl=70∘ ∴∠CFQ=∠EFL=180∘−70∘=110∘

AB and CD are two parallel lines. PQ cuts AB and CD at E and F respectively. EL is the bisector of $∠ B E F$ . If $∠ L E B = 35^{\circ}$ then $∠ C F Q$ will be:

The correct option is C $110^{\circ}$
$∠ B E F = 2 ∠ B E l = 70^{\circ}$
$∴ ∠ C F Q = ∠ E F L = 180^{\circ} - 70^{\circ} = 110^{\circ}$