Find the perimeter of WXYZ

40 but see below.

Step-by-step explanation:

You have to assume that the figure is a parallelogram. That is never a safe assumption, but you have to make it because there is nothing else you can do.

That being the case, to get the perimeter, you just add the sides. If say well y could be just about any value with some limitations, you would be correct.

Per = 12 + 12 + 8 + 8 = 40

the first one, all those points on the line just make a strait line.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°