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J = L - 7
K = 2L - 21
L = L
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Sum of the interior angles of any triangle equal 180 . Thus ;
[tex]L + K + J = 180[/tex]
[tex]L + (2L - 21) + (L - 7) = 180 \\ [/tex]
[tex]4L - 28 = 180[/tex]
Add sides 28
[tex]4L - 28 + 28 = 180 + 28 [/tex]
[tex]4L = 208[/tex]
Divide sides by 4
[tex] \frac{4}{4} L = \frac{208}{4} \\ [/tex]
[tex]L = 52[/tex]
So :
[tex]J = L - 7[/tex]
[tex]J = 52 - 7[/tex]
[tex]J = 45[/tex]
And :
[tex]K = 2 L - 21[/tex]
[tex]K = 2(52) - 21[/tex]
[tex]K = 104 - 21[/tex]
[tex]K = 83[/tex]
Done...
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