Solve for x. 3x−8/2=x−6 enter your answer in the box.

x=−1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x−

8

2

=x−6

3x+−4=x+−6

3x−4=x−6

Step 2: Subtract x from both sides.

3x−4−x=x−6−x

2x−4=−6

Step 3: Add 4 to both sides.

2x−4+4=−6+4

2x=−2

Step 4: Divide both sides by 2.

2x

2

=

−2

2

x=−1

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°