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NN'll MM'
make a transverse between N AND M line such that it passes through x and divides it into two parts. this transvers is parallel.to both NN' and MM'
see the angle O side( opp. to x°)
in fig. angle 1=40° and angle 2=30° ( alternate angle)
angle O= angle 1 + 2=40+30= 70°
so angle O =70°
now x=360-70
x=290°
see the figure attached
Given:
NN' PARALLEL TO MM'
40°ANGLE
30° ANGLE
CONSTRUCTION:
draw a line AB passing through O and parallel to NN' AND MM'
SOLUTION:
ANGLE N'OB = 40° ....... ALTERNATE INTERIOR ANGLE
ANGLE M' OB = 30°......,.. ALTERNATE INTERIOR ANGLE
NOW, X°= 360° - ANGLE N'OM'..,.....
360° - ( 40° + 30°)
360° - 70°=290°
Therefore, Angle X= 290°