If

Question

If <I is congruent to <K, find JK.

A.
6
B.
7
C.
9
D.
18

mathstudent55 · Answer

Is there a figure?

kaekaee · Answer

Yes, heres the link: https://media.edgenuity.com/evresources/2090309_0211427e-4b2e-490b-a336-b828ea7cf0b1.png

mathstudent55 · Answer

In a triangle, if two angles are congruent, then the opposite sides are congruent.
Since angles I and K are congruent, then sides JK and IJ are congruent.
Set the expressions that correspond to those side lengths equal to each other, and solve for x.
Then substitute x of the expression of JK's length with the value of x you found to find the length of JK.

mathstudent55 · Answer

5x + 4 = 2x + 7

Subtract 2x from both sides:

3x + 4 = 7

Subtract 4 from both sides:

3x = 3

Divide both sides by 3:

x = 1

Now substitute 1 for x in 2x + 7

2x + 7 =

= 2(1) + 7

= 2 + 7

= 9