Respuesta :

Answer:

since those are angles on a straight line.

we work out as follows

  • x+126°=180°
  • x+126°-126°=180°-126°
  • x=54°

∠DBA and ∠DBC are making linear pair.

Linear pair of angles are formed when two lines intersect each other at a single point.

  • The sum of angles of a linear pair is always equal to 180°

[tex]\rm \large\longrightarrow \: \: x \: + \: 126 \degree \: = \: 180 \degree[/tex]

[tex]\rm \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 126 \degree [/tex]

[tex]\rm \large\longrightarrow \: \: x \: = \: 54 \degree[/tex]