Question

the measures of the angles of a triangle are shown in the figure below. solve for x. $(8x-18)^{circ}$ $110^{circ}$ $40^{circ}$

Explanation:

Step1: Sum triangle angles to 180°

$$110 + 40 + (8x - 18) = 180$$

Step2: Simplify left side

$$132 + 8x = 180$$

Step3: Isolate 8x term

$$8x = 180 - 132$$
$$8x = 48$$

Step4: Solve for x

$$x = \frac{48}{8}$$

Answer:

$x = 6$