15. In the given figure, PQ ll RS II TU and LM II No. If (MNSfind ZNML

1.	15. In the given figure, PQ ll RS II TU and LM II No. If (MNSfind ZNML40, and ZNOU75, thenM.N40°75°
Answer» GivenLM//ONandPQ //RS// TU if PQ//RS ,thenangle PMN=angle MNS=40° (alternate interior angle) then, SNO+NOU=180° (co- int. angles) SNO +75°=180°SNO=105° if LM//ONthenangle ONM=angle NML (alternate interior angle) SNO+SNM=NML105°+40°=NMLNML=145°

15. In the given figure, PQ ll RS II TU and LM II No. If (MNSfind ZNML40, and ZNOU75, thenM.N40°75°

Answer»

GivenLM//ONandPQ //RS// TU

if PQ//RS ,thenangle PMN=angle MNS=40° (alternate interior angle)

then, SNO+NOU=180° (co- int. angles)

SNO +75°=180°SNO=105°

if LM//ONthenangle ONM=angle NML (alternate interior angle) SNO+SNM=NML105°+40°=NMLNML=145°