Answer:
Step-by-step explanation:
According to diagram we have:
- ∠FLH ≅ ∠LMK, corresponding angles
- ∠LMK ≅ ∠GMJ, vertical angles
- ∠IMJ ≅ ∠KMH, vertical angles
- ∠H ≅ ∠IMJ, corresponding angles
Now:
- m∠FLH = m∠LMK = m∠GMJ
- m∠GMJ = m∠GMI + m∠IMJ
- 3x + 6 = 3x - 10 + 2x
- 2x = 6 + 10
- 2x = 16
- x = 8
Find the measure of angle H:
- m∠H = m∠IMJ = 2x = 2*8 = 16
