The relationship is vertical angles and the value of x is x = 10/3
How to determine the value of x
From the question, we have the following parameters that can be used in our computation:
The intersecting lines
In this lines, we can see that the angles x + 20 and 7x are vertical angles
By definition:
Vertical angles are congruent angles
So, we have
x + 20 = 7x
Collect the like terms
6x = 20
Divide both sides by 6
x = 20/6
So, we have
x = 10/3
Hence, the value of x is x = 10/3
Question
Classify the pair of angles. then find the value of x