Adjacent angles are angles beside one another
The value of x is 11
We have:
[tex]\angle FLY = 3x + 7[/tex]
[tex]\angle SLY = 7x + 3[/tex]
[tex]\angle FLS = 120[/tex]
Since FLY and SLY are adjacent, then:
[tex]\angle SLY + \angle FLY = \angle FLS[/tex]
So, we have:
[tex]7x + 3 + 3x + 7= 120[/tex]
Collect like terms
[tex]7x + 3x = 120 - 3 - 7[/tex]
[tex]10x = 110[/tex]
Divide both sides by 10
[tex]x = 11[/tex]
Hence, the value of x is 11
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