Given: A triangle with interior angles of 31 degrees, 56 degrees and x degrees.
Required: To determine the measure of angle x.
Explanation: The angle sum property of a triangle states that the sum of all interior angles of a triangle is equal to 180 degrees Thus,
[tex]31\degree+56\degree+x\degree=180\degree[/tex]Further solving for x as follows-
[tex]\begin{gathered} 87\degree+x\degree=180\degree \\ x=180\degree-87\degree \\ x=93\degree \end{gathered}[/tex]Final Answer: The value of x is-
[tex]x=93\degree[/tex]