If the angles of a triangle are (x - 46)°, (x + 96)° and 8x°, then what is the value of 2x?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 26°.
The angles of a triangle are (x - 46)°, (x + 96)°, and 8x°.
All internal angles of a triangle add up to 180°.
According to the concept,
(x - 46) + (x + 96) + 8x = 180
⇒ 10x + 50 = 180
⇒ 10x = 130
⇒ 9x = 13
⇒ 2x = 26
The value of 2x is 26°