Respuesta :

Answer: x=14

Step-by-step explanation:

First let's find all the inner angles of the triangle.

124+DCB=180 ==> Angles DCB and 124 lie on a straight line. Straight lines measure 180 degrees and are called straight angles.

124+DCB=180

124-124+DCB=180-124

DCB=180-124

DCB=56 degrees

6x+CBD=180 ==> straight angle

2x+CBD+56=180 ==> total degrees of a triangle is 180 degrees

6x+CBD=2x+CBD+56 ==> they both equal 180

6x+CBD-CBD=2x+CBD-CBD+56

6x=2x+56

6x-2x=2x-2x+56

4x=56

4x/4=56/4

x=14