A triangle is shown below. Angles 77, 2x - 6, and 139. What is the value of X

x = 34

Step-by-step explanation:

139° is an exterior angle of the triangle shown in the diagram.

77° and (2x - 6)° are opposite interior angles of the triangle.

Based on the external angle theorem,

77° + (2x - 6)° = 139°

Solve for x

77 + 2x - 6 = 139

71 + 2x = 139

Subtract 71 from each side

2x = 139 - 71

2x = 68

Divide both sides by 2

x = 68/2

x = 34