f the measure of angle 2 is 92 degrees and the measure of angle 4 is (one-half x) degrees, what is the value of x? 2 lines intersect to form 4 angles. From top left, clockwise, the angles are 1, 4, 3, 2.

  We can see that angle 2 and angle 4 are vertical angles. Since vertical angles are equal, so to find the value of x we will equate the measure of angle 2 with the measure of angle 4. Let us multiply both side of our equation by 2. Therefore, the value of x is 184 degrees and option D is the correct choice.

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