Symbiosis National Aptitude Test SNAP 2018 Paper

Question : 37 of 130

Marks: +1, -0

In the figure given below

L_1

L_2

then X = ....

30°
45°
60°
Cannot be determined

Validate

Solution:

L_1||L_2

then, ∠DAB + ∠ABE = 180°
As, AC and BC divides ∠DAB and ∠ABE
∴ ∠DAC = ∠CAB and ∠ABC = ∠EBC
So, ∠BAC + ∠ABC = 90°
In ΔABC, ∠BCF = ∠BAC + ∠ABC = 90°
2x = 90°
⇒ x = 45°

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