Final answer:
Vertical angles have the same measure. To find the value of x, set the expressions equal to each other and solve. MFG and EFN both have a measure of 80.
Step-by-step explanation:
Vertical angles are formed when two lines intersect. They are opposite each other and have the same measure. In this case, MFG and EFN are vertical angles.
To find the value of x, we can set the two expressions equal to each other:
7x – 18 = 5x + 10
Solving for x:
7x - 5x = 10 + 18
2x = 28
x = 14
Substituting the value of x back into the expressions for MFG and EFN:
MFG = 7(14) - 18 = 98 - 18 = 80
EFN = 5(14) + 10 = 70 + 10 = 80
Therefore, MFG and EFN both have a measure of 80.
Learn more about Vertical angles