Question

Please show your work

Answer 1

D) 52

Explanation:

since htere is an angle bisector that means that (6x+2) and (8x-6) are equal to each other

so

(6x+2)=(8x-6)

-6x -6x

2=2x-6

+6 +6

8=2x

/2 /2

x=4

no you plug x back into one of the equations so

6(4)+2=26

now 26x2=52

Answer 2

52

Explanation:

If JK bisects the angle, the two angles are equal

6x+2 = 8x-6

Subtract 6x from each side

6x-6x+2 = 8x-6x-6

2 = 2x-6

Add 6 to each side

2+6 =2x-6+6

8 =2x

Divide by 2

8/2 =2x/2

4 =x

Now find angle LJM, which is the sum of the two angles

6x+2 + 8x-6

14x -4

14*4-4

56-4

52