Find the false statement, if it is given that, $l_{2} ∥ l_{3}$ .

a = e

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b + e = 180^{o}

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l_{1} ⊥ l_{4}

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c = d

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Solution

The correct option is C $l_{1} ⊥ l_{4}$
Given, $l_{2} | | l_{3}$
$\Rightarrow a^{o} + b^{o} = 180^{o}$ ....(i) since they form a linear pair
$\Rightarrow c^{o} = d^{o}$ ....since they are vertically opposite angles
$\Rightarrow b^{o} + e^{o} = 180^{o}$ ....(ii) since they form a linear pair because lines $l_{2} | | l_{3}$
From (i) and (ii), we get
$a^{o} = e^{o}$
Hence, options A, B and D are true statements while nothing can be said about option C as the exact measures of angles are unknown.

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Find the false statement, if it is given that, l2∥l3.

Find the false statement, if it is given that, $l_{2} ∥ l_{3}$ .