The question is in the picture

x = 10

Step-by-step explanation:

Notice that in order to solve for the final solution of x, we must look at the second step.

We use the multiplicative property of equality and multiply both sides by 5. When we do so, the left side results in simply: . Meanwhile, the right side results in:

Thus, we have x = 10.

Hope this helps!

x = 10

Step-by-step explanation:

(⅕)(x)(5/1) = (6/3)(5/1)

(x)(1/5)(5/1) = (2)(5)

Because multiplication is commutative

(x)(1/5)(5/1) = (2)(5)

(x)(5/5) = 10

x = 10

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°