The value of x is 19°.
To find the value of x in the image, we can use the following steps:
1. Identify the vertical angles. Vertical angles are angles that are opposite each other when two lines intersect. In the image, the vertical angles are (7x + 2)° and 135°.
2. Set the vertical angles equal to each other. This is because vertical angles are always congruent. Therefore, we have the following equation:
(7x + 2)° = 135°
3. Solve for x. Subtracting 2° from both sides of the equation, we get:
7x = 133°
Dividing both sides of the equation by 7, we get:
x = 19°
Therefore, the value of x is 19°.