Answer:
x = 112
Explanation:
The figure given is a pentagon; therefore, the sum of interior angles must add up to 540 degrees.
This means
[tex]105^o+118^o+75^o+130^o+x=540^o[/tex]Adding the angles on the left-hand side gives
[tex]428^o+x=540^o[/tex]Finally, subtracting 428 from both sides gives
[tex]428^o+x-428^o=540^o-428^o[/tex][tex]x=540^o-428^o[/tex][tex]x=112^o[/tex]which is our answer!
