SOLUTION: Please help me solve this equation. Find x if {{{ m<LEF= 70, }}} {{{m<DEL= 14+6x,}}} {{{and m <DEF= 13x+7.}}}

Question 725955: Please help me solve this equation.
Find x if
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
This is hard to do without the diagram but I am guessing that angles LEF and DEL are adjacent angles. (Adjacent angles are angles with the same vertex, a shared/common side and non-overlapping interiors.)

If I am right then there is a relationship between the measures of the two adjacent angles and the measure of the "big" angle formed by the vertex and the two sides of the adjacent angles that are not shared. (In this case the "big" angle would be angle DEF.) This relationship is that the sum of the measures of the adjacent angles is equal to the measure of the "big" angle.

So:
(70) + (14+6x) = 13x + 7
Now we just solve for x. Adding like terms:
6x + 84 = 13x + 7
Subtracting 6x from each side:
84 = 7x + 7
Subtracting 7 from each side:
77 = 7x
Dividing by 7:
11 = x
RELATED QUESTIONS
Find m < def if m < dem =3x+3, m < def = 14x+6 and m < mef=80 (answered by tommyt3rd)

Please help me solve this equation: {{{ 1/(m^2-m) + 1/(m) = 5/(m^2-m) }}} (answered by stanbon)

please help me solve this equation 5^4 x m... (answered by vleith)

please help me solve this equation 5^4 x m... (answered by Alan3354)

I would like to know how would I be able to find the measure of an angle using algebra... (answered by Fombitz)

Please help me solve this problem: Angle 1 is the complement of angle 2. If m<1 =... (answered by MathLover1)

please help me solve this equation: m^2+n^2 m n (answered by MRperkins)

"Please help me solve this problems 10^x = 0.0001 and m^7 n^2x\n^3 = m^3\m^-4... (answered by Alan3354)

please help me with the equation: if m varies inversely as t and m=7 when t=3, find... (answered by Alan3354)