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KJI = KJY + YJI
Thus ;
[tex]168 =( 8x - 4) + (36x - 4)[/tex]
[tex]168 = 8x - 4 + 36x - 4[/tex]
Collect like terms
[tex]168 = 44x - 8[/tex]
Add sides 8
[tex]168 + 8 = 44x - 8 + 8[/tex]
[tex]176 = 44x[/tex]
Divide sides by 44
[tex] \frac{176}{44} = \frac{44}{44} x \\ [/tex]
[tex] \frac{16 \times 11}{4 \times 11} = x \\ [/tex]
[tex]4 = x[/tex]
[tex]x = 4[/tex]
So ;
[tex]YJI = 36x - 4[/tex]
[tex]YJI = 36(4) - 4[/tex]
[tex]YJI = 144 - 4[/tex]
[tex]YJI = 140°[/tex]
Done...
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