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To find the measure of angle O, we can use the property that angles in a triangle add up to 180 degrees.
Since angle R = 28 degrees, the sum of angles N and Q must be 180 - 28 = 152 degrees.
Since angles N and Q are identical, we can find each angle by dividing 152 by 2:
152 / 2 = 76 degrees
Therefore, angle O = 76 degrees.
Therefore, the correct answer is:
56°