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Attempt following question by selecting a choice to answer. D AB ¯ || NP ¯ and

MN ¯ || BC ¯ . Find the measure of

∠ MNO.

[Given x = 55.] BBBB DDDD A.

D 115

B.

D 125

C.

D 152

D.

D 110

DD
B

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