Select the correct answer.

B. x = -5

Step-by-step explanation:

-8(x+5) = -3x - 7 + x  - 3

distribute the -8

-8x - 40 = -3x - 7 + x - 3

combine like terms

-8x - 40 = -2x - 10

add 40 to both sides

-8x = -2x + 30

add 2x to both sides

-6x = 30

divide both sides by -6

x = -5

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°

-2 is the right