Question

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

Explanation:

Step1: Sumar ángulos del triángulo

$$(7x+8) + 102 + 28 = 180$$

Step2: Simplificar la suma de números

$$7x + (8+102+28) = 180$$
$$7x + 138 = 180$$

Step3: Despejar el término con $x$

$$7x = 180 - 138$$
$$7x = 42$$

Step4: Calcular el valor de $x$

$$x = \frac{42}{7}$$

Answer:

$x=6$