#1**0 **

Since vertical angles are congruent, we can make the following equation:

(4x + 7)° = (7x - 35)°

We can remove the degree signs and parenthesees from both sides of the equation.

4x + 7 = 7x - 35

Subtract 4x from both sides, add 35 to both sides.

7 + 35 = 7x - 4x

Combine like terms.

42 = 3x

Divide both sides of the equation by 3

? = x

*Alternate approach:*

Since a 180° angle forms a straight line, we can make the following equation:

(4x + 7)° + (10x - 23)° = 180°

Remove the degree signs from every term, then we can drop the two

sets of parenthesees because there is only addition between them

4x + 7 + 10x - 23 = 180

Simplify the left side by combining like terms.

14x - 16 = 180

Add 16 to both sides.

14x = 196

Divide both sides of the equation by 14

x = ?

hectictar Sep 16, 2020