The following quadrilateral is a parallelogram. An illustration of parallelogram MLKJ. Angle L measures 6x+18 degrees and angle J measures 8x-2 degrees. The measure of angle L is ___ degrees.

m∠L = 78°

Step-by-step explanation:

Properties of a parallelogram,

1). Opposite sides are equal and parallel.

2). Diagonals are equal in measure .

3). Opposite angles are equal in measure.

4). Consecutive angles are supplementary

5). Diagonals bisect each other.

By the property number (3),

m∠J ≅ m∠L

(8x - 2) = (6x + 18)

8x - 6x = 18 + 2

2x = 20

x = 10

Therefore, m∠L = (6x + 18)

                          = 60 + 18

                          = 78°

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.

$450 i think. hope this ☺