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To find the measure of angle AOB when given that angle AOC is 108 degrees and m∠AOC = 3m∠AOB, use the relationship between the angles to calculate m∠AOB as 36 degrees.Given: ∠AOC = 108°, m∠AOC = 3m∠AOBTo find: m∠AOBSteps to solve:Since ∠AOC = 108° and m∠AOC = 3m∠AOB, we can set up an equation: 108 = 3x, where x is m∠AOB.Solving the equation, x = 36°. Therefore, m∠AOB = 36°....