Meh its says complete the number sentence to show an example of the distributive property

The answer is:

Step-by-step explanation:

The distributive property in mathematics is a property of multiplication in which, when there is an addition or a subtraction, multiplying the number by the sum of the others gives the same result as separately multiplying the numbers within the parentheses and then adding them, in the answer of the exercise I have carried out each one of the steps so that you can demonstrate that this is true, and since to explain this property an additional addition or subtraction is required, I have added the number 4 adding.

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°