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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Drawings not to scale The two figures above are congruent. Find the measure of the angle that isn’t labeled on either figure.
Please help me I have to get this done as fast as I can.

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bob7113

Answer:

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

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