best answer get brainlest What is the value of x? Explain how you know.

6

Step-by-step explanation:

Lets assume that the shape WXVU is a parallelogram.

If you know that it is a parallelogram, you can infer that the sides WV and XU are congruent. And so are the sides WX and VU.

Therefore, you can make the equation: WV=XU => x+1=7

Simplify and x would be 6.

So sorry if I am wrong.

Have a nice day! :D

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°