Question

Find m/HFG if m/EFG = 2x + 52, m/EFH = 21°, and
m/HFG = x + 31.

Answer 1

31°

Explanation:

Given Angle EFG = Angle EFH + Angle HFG (based on the diagram)

`2x+52 = 21 + (x+31)\\2x+52 = 21+x+31\\2x+52=x+52\\2x-x+52=52\\x+52=52\\x=52-52\\x=0`

From here we can see the value of x is non-existent.

Substitute x to find Angle HFG.

x+31 = 0 + 31 = 31°