Question 1203467
<pre>
if m deg=(5x-4) m gef=(7x-8) m deh=(9y+5) find the values of x and y

If the diagram that woman has is correct, then in no way should you do it the way she does. Who wants to solve for
a variable and then work with fractions that that solved-variable produces? Certainly NOT anyone I know!!!

Again, if diagram is correct, then &#8737s DEG & GEF are supplementary. Therefore, &#8737DEG + &#8737GEF = 180<sup>o</sup>
                                                                           5x - 4 + 7x - 8 = 180  
                                                                                   5x + 7x = 180 + 12   
                                                                                       12x = 192 
                                                                                       {{{highlight_green(matrix(1,5, highlight(x), "=", 192/12, "=", highlight(16)))}}}

Again, if diagram is correct, then &#8737s GEF & DEH are vertical, and so, are congruent. Hence, &#8737GEF = &#8737DEH
                                                                                          7x - 8 = 9y + 5   
                                                                                       7(16) - 8 = 9y + 5 -- Substituting 16 for x
                                                                                         112 - 8 = 9y + 5
                                                                                         104 - 5 = 9y
                                                                                              99 = 9y
                                                                                             {{{highlight_green(matrix(1,5, highlight(y), "=", 99/9, "=", highlight(11)))}}}</pre>