In the diagram below what is the value of x?

The sum of the interior angles of a triangle is 180^o   

I'll set up the equation for you:   (16x + 4) + (14x + 6) + 50  =  180  

combine like terms                       30x + 60  =  180  

subtract 60 from both sides                 30x  =  120  

divide both sides by 30                            x  =  4  

Check the answer     16x + 4  =  64 + 4  =  68  

                                 14x + 6  =  56 + 6  =  62  

                                                                  50  

 Total ...................................................... 180  

Where did the 50 come from? 

That unlabeled interior angle is the supplementary angle of 130^o

Supplementary angles total 180^o   

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