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Quantitative Aptitude

Lines and Angles

In the given ...

Question

In the given figure, $l_{1}$ is parallel to $l_{2}$ , AB and BC are angle bisectors. Find the measure of $∠ A B C$

A

60

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B

70

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C

80

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D

90

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Solution

The correct option is D 90
$2 a + 2 b = 180^{\circ}$ (interior angles)
or $a + b = 90^{\circ}$
In $Δ A B C, ∠ A B C + a + b = 180^{\circ}$
$\Rightarrow ∠ A B C = 180^{\circ} - (a + b) = 90^{\circ}$

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