Question

Can anyone help with this?

Answer 1

Explanation:

This is a parallelogram, the parallel sides are congruent.

So we can write the following equation to find the value of k:

13k - 9 = 5k + 7

• Transfer like terms to the same side of the equation.

13k - 5k = 7 + 9

• Add/Subtract expressions.

8k = 16

• Divide both sides by 8.

k = 2

Consecutive angles are supplementary, which means they add up to 180:

12j - 41 + 5j - 17 = 180

• Add/subtract like terms.

17j - 58 = 180

• Add 58 to both sides.

17j = 238

• Divide both sides by 17.

j = 14