Angle Relationships

Question

Question 1
Use the properties of vertical angles to find the value of x.

Answer 1

Since vertical angles are always congruent, we can set the two expressions equal to each other:
2x + 20 = 3x - 10

Now, solve for x:

2x + 20 = 3x - 10
20 = x - 10
30 = x

Therefore, x = 30.