1.

In the figure AB is parallel to CD. Find x, y and z.

Answer»

Given AB || CD 

∴ Z = 42 (∵ Alternate interior angles) 

Also y = 42° [vertically opposite angles] 

Also x° + 63° + z° = 180° 

x° + 63° + 42° = 180° 

x° + 105° = 180° 

x° + 105° – 105° = 180° – 105° 

x° = 75° 

∴ x = 75°; y = 42°; z = 42°



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