How do i do this problem?
(similar triangles)

x = -78

Step-by-step explanation:

Write and solve an equaiton of ratios, as follows:

hypotenuse to hypotenuse:

         57                 51

  =

      2x + 7             x + 4

Cross-multiplying, we get:

57x + 228 = 102x + 351

Combining the x terms on the right, we get:

          228 = 45x + 351

Combining the constants on the left:

           -123 = 45x, and so x = -123/45 = -78

x = -78

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°

believe it or not anna is correct good job anna give me a fist bump there u go gal