The measure of the angle of the straight line is equal to the 180 degree. the measure of the [tex]\angle HLI[/tex] is equal to the [tex]\angle ILM[/tex] which is 30 degrees. Thus the option 4 is the correct option.
The measures of the angle KLH is 120 degrees.
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The measure of the angle of the straight line is equal to the 180 degree.
The line KLM is a straight line thus the angle of the line KLM is equal to the 180 degrees.
The value of the angle ILH is 30 degrees given in the figure.
The value of the angle KLH is given in the question which is equal to the 120 degrees. Thus,
[tex]\angle KLM=\angle ILM +\angle KLH + \angle ILH[/tex]
Take the angle KLH and the angle ILH on the other side,
[tex]\angle ILM=\angle KLM -\angle KLH - \angle ILH[/tex]
[tex]\angle ILM=180-120-30[/tex]
[tex]\angle ILM=30[/tex]
Thus the measure of the [tex]\angle ILM[/tex] is 30 degrees.
As the measure of the [tex]\angle HLI[/tex] is equal to the [tex]\angle ILM[/tex] which is 30 degrees. Thus the option 4 is the correct option.
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