Question

If the angles in the triangle measure (2x + 8), (3x - 2), and (x - 6); find the value of x.

Option 1: x = 8
Option 2: x = 4
Option 3: x = 6
Option 4: x = 10

Answer 1

The value of x is 30.

Step-by-step explanation:

To find the value of x, we need to set up an equation using the given angles:

(2x + 8) + (3x - 2) + (x - 6) = 180

Combine like terms and solve for x:

6x = 180 - 8 + 2 + 6

6x = 180

x = 30

Therefore, the value of x is 30.