In the given figure, MN and LK are parallel lines. m∠LKO = 65° and m∠KON = 80°. Find m ∠MNO.
Explanation:
Draw a line OP parallel to LK.
∵ LK and MN are parallel lines, line OP is parallel to both the lines..
∴ m ∠LKO = m ∠KOP = 65° (∵ ∠LKO and ∠KOP form a pair of Alternate angles)
But, m ∠KON = m ∠KOP + m ∠PON
∴ m ∠PON = 80° − 65° = 15°
∴ m ∠MNO = 15° (∵ ∠MNO and ∠PON form a pair of Alternate angles)
Hence, option (d).
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