Question

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

Explanation:

Step1: Sum triangle angles to 180°

$$(7x-16) + 62 + 43 = 180$$

Step2: Simplify left-hand side

$$7x + (-16 + 62 + 43) = 180$$
$$7x + 89 = 180$$

Step3: Isolate term with x

$$7x = 180 - 89$$
$$7x = 91$$

Step4: Solve for x

$$x = \frac{91}{7}$$

Answer:

$x = 13$