Mathematics

Find the values of the unknown x and y in the following diagram.


SOLUTION
Vertically opposite angles are equal
$$\angle A = x$$
$$\angle B = x$$
$$\angle C = x = y$$
Sum of internal angles of a $$\Delta le$$ is $$180^o$$
$$\angle A + \angle B + \angle C = 180^o$$
$$x + x+ x = 180^o$$
$$3x = 180^o$$
$$\therefore x = 60^o$$
$$\therefore y = x=60^o$$

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Subjective Medium Published on 09th 09, 2020
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