Answer:
Explanation:
1) angle GLH = angle JLI. This is so because they are vertically opposite angles.
angle JLI = 30 degrees. Therefore,
angle GLH = 30 degrees.
2) The sum of angles at a point is 360 degrees. It means that
Angle HLI + angle JLI + angle KLJ + angle GLK + angle HLG. Therefore,
Angle HLI + 30 + 60 + 90 + 30 = 360
Angle HLI + 210 = 360
Angle HLI = 360 - 210 = 150 degrees
3) angle ILK = 60 + 30 = 90 degrees