Respuesta :

Answer:

[tex]x=20\°[/tex]

Step-by-step explanation:

Given:

Angles of triangle: 105° and 55°

[tex]x[/tex] is the missing angle of the triangle.

We know that sum of all three angles of a triangle =180°

∴ [tex]x+105\° +55\° =180\°[/tex]

[tex]x+160\° =180\°[/tex]

Subtracting 160° from both sides.

[tex]x+160\°-160\° =180\°-160\° [/tex]

∴ [tex]x=20\°[/tex]