Supplementary angles add up to 180 degrees
The value of x is 17
The given parameters are:
[tex]FDE = 3x - 15[/tex]
[tex]FDB = 5x + 59[/tex]
Because the angles are supplementary, then:
[tex]FDE + FDB = 180[/tex]
So, we have:
[tex]3x - 15 + 5x + 59 = 180[/tex]
Collect like terms
[tex]3x + 5x = 15 - 59 + 180[/tex]
[tex]8x = 136[/tex]
Divide both sides by 8
[tex]x = 17[/tex]
Hence, the value of x is 17
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