Question

the measures of the angles of a triangle are shown in the figure below. solve for x.
one angle is $65^\circ$, one angle is $(5x+14)^\circ$, one angle is $36^\circ$

Explanation:

Step1: Sumar ángulos del triángulo

$$65 + 36 + (5x + 14) = 180$$

Step2: Simplificar la suma de constantes

$$115 + 5x = 180$$

Step3: Despejar el término con x

$$5x = 180 - 115$$
$$5x = 65$$

Step4: Calcular el valor de x

$$x = \frac{65}{5}$$

Answer:

$x = 13$