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 ∠ABC + 120° = 180° is a linear pair ∠ABC = 60° Again from the figure we can write as ∠ACB+ 110° = 180° is a linear pair ∠ACB = 70° We know that the sum of all angles of a triangle is 180°. Therefore, consider △ABC, we get x + ∠ABC + ∠ACB = 180° x = 50° 60°+70°+x=180° 130°+x=180° x=50°

Answer»

From the given figure, we can write as

∠ABC + 120° = 180° is a linear pair

∠ABC = 60°

Again from the figure we can write as

∠ACB+ 110° = 180° is a linear pair

∠ACB = 70°

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

Therefore, consider △ABC, we get

x + ∠ABC + ∠ACB = 180°

x = 50°

60°+70°+x=180°

130°+x=180°

x=50°

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