Compute the value of x in the figure:

1.	Compute the value of x in the figure:
Answer» From the given figure, we can write as ∠ACD + ∠ACB = 180° is a linear pair On rearranging we get ∠ACB = 180°– 112° = 68° Again from the figure we have, ∠BAE + ∠BAC = 180° is a linear pair On rearranging we get, ∠BAC = 180°– 120° = 60° We know that the sum of all angles of a triangle is 180°. Therefore, for △ABC: x + ∠BAC + ∠ACB = 180° x = 180°– 60°– 68° = 52° x = 52°

Answer»

From the given figure, we can write as

∠ACD + ∠ACB = 180° is a linear pair

On rearranging we get

∠ACB = 180°– 112° = 68°

Again from the figure we have,

∠BAE + ∠BAC = 180° is a linear pair

On rearranging we get,

∠BAC = 180°– 120° = 60°

We know that the sum of all angles of a triangle is 180°.

Therefore, for △ABC:

x + ∠BAC + ∠ACB = 180°

x = 180°– 60°– 68° = 52°

x = 52°

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