Question : If the angles of a triangle are (x – 46)°, (x + 96)°, and 8x°, then what is the value of 2x?
Option 1: 15°
Option 2: 24°
Option 3: 26°
Option 4: 13°
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Correct Answer: 26°
Solution :
All internal angles of a triangle add up to 180°.
$(x - 46)° + (x + 96)° + 8x° = 180$
$⇒ 10x + 50° = 180°$
$⇒ 10x = 130°$
$⇒ x = 13°$
$\therefore 2x = 26°$
Hence, the correct answer is 26°.
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