SOLUTION: if m deg=(5x-4) m gef=(7x-8) m deh=(9y+5) find the values of x and y

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Question 1203467: if m deg=(5x-4) m gef=(7x-8) m deh=(9y+5) find the values of x and y
Found 3 solutions by josgarithmetic, MathLover1, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Your notation is either faulty, or wrong, or ambiguous. Problem description is also incomplete.
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
if



find the values of and

Capture

and m is same, so

....solve for

.......eq.1

if , we also know that , so we have

.....solve for



....eq.2


from eq.1 and eq.2 we have







go to
.......eq.1, substitute





Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
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 ∡s DEG & GEF are supplementary. Therefore, ∡DEG + ∡GEF = 180o
                                                                           5x - 4 + 7x - 8 = 180  
                                                                                   5x + 7x = 180 + 12   
                                                                                       12x = 192 
                                                                                       

Again, if diagram is correct, then ∡s GEF & DEH are vertical, and so, are congruent. Hence, ∡GEF = ∡DEH
                                                                                          7x - 8 = 9y + 5   
                                                                                       7(16) - 8 = 9y + 5 -- Substituting 16 for x
                                                                                         112 - 8 = 9y + 5
                                                                                         104 - 5 = 9y
                                                                                              99 = 9y

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