If the angles of a triangle are (x - 46) degrees, (x + 96) degrees and 8x degrees, then what is the value of 2x?

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 2)
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  1. 15 degrees
  2. 24 degrees
  3. 26 degrees
  4. 13 degrees

Answer (Detailed Solution Below)

Option 3 : 26 degrees
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Detailed Solution

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Given:

The angles of a triangle are (x - 46) degrees, (x + 96) degrees and 8x degrees.

Concept used:

All internal angles of a triangle add up to 180°.

Calculation:

​According to the concept,

(x - 46) + (x + 96) + 8x = 180

⇒ 10x + 50 = 180° 

⇒ 10x = 130° 

⇒ x = 13° 

⇒ 2x = 26° 

∴ The value of 2x is 26 degrees.

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