If the angles of a triangle are (x - 6) degree, (x + 26) degree and 8x degree, then what is the value of 2x?

32 degrees

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.