Mathematics

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


ANSWER

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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