Answer:
The answer is C.
Step-by-step explanation:
Given that ∠I and ∠K have the same angles so we can assume that this is an Isoceles Triangle where 2 sides are equal. So we can compare the expressions of JI and JK to get the value of x :
[tex]JI = 5x + 4[/tex]
[tex]JK = 2x + 7[/tex]
[tex]JI = JK[/tex]
[tex]5x + 4 = 2x + 7[/tex]
[tex]5x - 2x = 7 - 4[/tex]
[tex]3x = 3[/tex]
[tex]x = 1[/tex]
Next, we have to substitute the x value into the expression of JK :
[tex]JK = 2(1) + 7[/tex]
[tex]JK = 2 + 7[/tex]
[tex]JK = 9[/tex]
(Correct me if I am wrong)
