Someone, please help me with this.

Step-by-step explanation:

Because the angles are adjacent to each other and form a straight line, they are supplementary angles. Supplementary angles add up to 180 degrees, therefore, you can add the two angle measures together and set them equal to 180.

(7x - 1) + (6x - 1) = 180 combine like terms

13x - 2 = 180 add 2 to both sides

13x = 182 divide by 13 on both sides

Step-by-step explanation:

Since the two angles lie on a straight line the sum of their angles is equal to 180°.

To find x add up the two angles and equate it to 180° and solve for x

That's

7x - 1 + 6x - 1 = 180

13x - 2 = 180°

Move 2 to the right side of the equation

That's

13x = 180 + 2

13x = 182

Divide both sides by 13

That's

We have the final answer as

Hope this helps you

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°