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]