In a - ABC- a line XY parallel to BC intersects AB at X and AC at Y -then - CBY - - CY B is-B- 4- 5C- 1- 1D- 6- 5

The correct option is C 1 : 1∠ XYB = ∠ YBC and ∠ XYB = ∠ BYC ⇒ ∠ YBC = ∠ BYC ...

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Quantitative Aptitude

Lines and Angles

In a Δ ABC, a...

Question

In a $Δ A B C$ , a line XY parallel to BC intersects AB at X and AC at Y:
If BY bisects $∠ X Y C$ , then $∠ C B Y$ : $∠ C Y B$ is:

5 : 4

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4 : 5

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1 : 1

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6 : 5

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Solution

The correct option is C 1 : 1
$∠ X Y B = ∠ Y B C a n d ∠ X Y B = ∠ B Y C \Rightarrow ∠ Y B C = ∠ B Y C$

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In a ΔABC, a line XY parallel to BC intersects AB at X and AC at Y: If BY bisects ∠XYC, then ∠CBY : ∠CYB is:

The correct option is C 1 : 1∠XYB=∠YBC and ∠XYB=∠BYC⇒ ∠YBC=∠BYC

In a $Δ A B C$ , a line XY parallel to BC intersects AB at X and AC at Y:
If BY bisects $∠ X Y C$ , then $∠ C B Y$ : $∠ C Y B$ is:

The correct option is C 1 : 1
$∠ X Y B = ∠ Y B C a n d ∠ X Y B = ∠ B Y C \Rightarrow ∠ Y B C = ∠ B Y C$