Mathematics

In the figure, $l || m$ and $n || p$. If $\angle 1 =60^{\circ}$, then  $\angle 2 = 3 \times \angle 1$.

False

SOLUTION
Given, $\angle{1}=60^\circ$

$\angle{1}=\angle{3}=60^\circ$ ------(corresponding angles)

$\angle{2}+\angle{3}=180^\circ$ ------(sum of adjacent angles in a parallelogram is $180^\circ$)

$60^\circ+\angle{2}=180^\circ$

$\angle{2}=180^\circ-60^\circ=120^\circ$

$\therefore \angle{2}=2 \times \angle{1}$

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TRUE/FALSE Medium Published on 09th 09, 2020
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