If the angles of a triangle are (x - 6) degree, (x + 26) degree and 8x degree, then what is the value of 2x?
Answer & explanation
Correct answer: option 4
Calculations
There are 3 angles of a triangle whose sum of all the angles are 180 degrees.
According to the question,
(x - 6) + (x + 26) + 8x = 180
⇒ x + x + 8x - 6 + 26 = 180
⇒ 10x + 20 = 180
⇒ 10x = 160
⇒ x = 16
The value of 2x is
⇒ 2x = 2 x 16 = 32
Therefore, the value of 2x is 32.