Question

∠E and ∠F are vertical angles with m∠E=8x+8 andm∠F=2x+38. What is the value of x?

Answer 1

x=5

Explanation:

Since you know that the angles are vertical angles, you also know the angles are equal to each other. You can then set the two angle equations equal to each other:

8x+8=2x+38

Subtract 2x and 8 from each sides:

6x=30

Solve for x:

x=5