Question

on your own: exterior angles of a triangle
enter your answer in the box.
$x = \square$

Explanation:

Step1: Use exterior angle theorem

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles, so:
$$116^\circ = 32^\circ + (8x + 12)^\circ$$

Step2: Simplify the right-hand side

Combine the constant terms:
$$116 = 32 + 12 + 8x$$
$$116 = 44 + 8x$$

Step3: Isolate the term with x

Subtract 44 from both sides:
$$116 - 44 = 8x$$
$$72 = 8x$$

Step4: Solve for x

Divide both sides by 8:
$$x = \frac{72}{8}$$

Answer:

$9$