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Find the measure of
MNO. [Given = 55.]cccc ffff
Step 1: From the figure, is transversal to and which are parallel to each other.
Step 2: ABO NOC.[Corresponding angles.]
Step 3: So NOC = 55.
Step 4: NOB and NOC are supplementary angles. So, NOB + NOC = 180
Step 5: NOB + 55 = 180[Substitute the values.]
Step 6: NOB = 125[Subtract 55° from each side.]
Step 7: is transversal to the parallel line segments MN and BC.
Step 8: NOB and MNO are alternate interior angles. So NOB = MNO.
Step 9: MNO = 125