The formula of the sum of the measures of the interior angles of a polygon:
[tex](n-2)(180^o)[/tex]
We have the pentagon → n = 5.
Sustitute:
[tex](5-2)(180^o)=(3)(180^o)=540^o[/tex]
Therefore we have the equation:
[tex]67^o+152^o+130^o+76^o+x^o=540^o\\\\425^o+x^o=540^o\qquad|\text{subtract 425^o from both sides}\\\\\boxed{x^o=115^o}[/tex]
Answer: x = 115
