The measures of the angles of a triangle are shown in the figure below. Solve for x.

Question

(8x+6)°
60°

Answer 1

To solve for x, we know that the sum of the interior angles of a triangle is always 180°.

So, we can set up the equation:

(8x+6) + 60 + x = 180

Combine like terms:

9x + 66 = 180

Subtract 66 from both sides:

9x = 114

Divide by 9:

x = 12

Therefore, x = 12.