Mathematics

Find the value of x in each of the following figures.


SOLUTION
In the given figure, EF || BC
In $$\Delta$$ABC, Ext. $$\angle{DAF} = 50^\circ$$
$$AB = BC$$
$$\angle A= \angle C =x$$
$$EF || BC$$
$$\angle {DAF} = \angle {ABC} = 50^\circ$$
Now in $$\Delta$$ABC
$$\angle {BAC} + \angle {ABC} + \angle {BCA} = 180^\circ$$
$$\Rightarrow x + 50^\circ + x = 180^\circ$$
$$\Rightarrow 2x = 180^\circ - 50^\circ = 130^\circ$$
$$\Rightarrow x= 65^\circ$$
$$x = 65^\circ$$
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Subjective Medium Published on 09th 09, 2020
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