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Question -

The angles of a triangle are (x – 40)°, (x – 20)° and (  x – 10)°. Find the value of x.



Answer -

∵ Sum of three angles of a triangle = 180°
∴ (x –40)° + (x – 20)° + (x-10)0 = 180°

⇒ x –40° + x – 20° + x – 10° = 180°

⇒ x +x+ x – 70° = 180°

⇒ x = 180° + 70° = 250°

⇒ x= = 100°

∴ x =100°

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