Question

In the given figure what is the value of x
Plz answer fast

Answer 1

Answer:

The value of x=110° by the property of alternate angles

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Answer 2

x = 130°

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To find:-

• Value of x

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By first method:-

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⇒∠3 + 120° = 180° [Linear pair]

⇒∠3 = 180° - 120°

⇒∠3 = 60°

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⇒∠2 + 110° = 180° [Linear pair]

⇒∠2 = 180° - 110°

⇒∠2 = 70°

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We know that,

Sum of all interior angle of triangle is 180°.

So,

⇒∠1 + ∠2 + ∠3 = 180°

⇒∠1 + 70° + 60° = 180°

⇒∠1 + 130° = 180°

⇒∠1 = 180° - 130°

⇒∠1 = 50°

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⇒∠1 + x = 180°[Linear pair]

⇒50° + x = 180°

⇒x = 180° - 50°

⇒x = 130°

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By second method:-

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We know that,

Sum of all exterior angles of triangle is 360°.

So,

⇒x + 110° + 120° = 180°

⇒x + 230° = 360°

⇒x = 360° - 230°

⇒x = 130°

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Thus, the value of x is 130°.