Question

Find the values that make this a parallelogram (please show work)

Answer 1

Answer:

Correct answer is: 7. y = 28° and x = 29°   8. y = 7 and x = 5

Step-by-step explanation:

7.

In the parallelogram, adjacent angles are supplementary and the opposite angles are the same.

According to this:

(3 y - 20) + (4 y + 4) = 180 => 7 y - 16 = 180 => 7 y = 180 + 16 => 7 y = 196

y = 196/7 = 28°  =>  y = 28°

4 x + (2 x + 6) = 180 => 6 x + 6 = 180 => 6 x = 180 - 6 => 6 x = 174

x = 174/6 = 29°  => x = 29°

8.

At the parallelogram, the diagonal is split into two equal parts.

According to this:

3 y - 3 = 2 y + 4 => 3 y - 2 y = 4 + 3 => y = 7

x - 1 = 2 x - 6 => 2 x - x = 6 - 1 => x = 5

God with you!!!