Question

in the given figure A B|| CD|| EF calculate x​

Answer 1

a. the angle 'x' here is:

x = 80° + 60° (alternative angle sum property)

=> x = 140°

b. the angle 'x' here is :

x = (180°-110°)+(180°-100°)

=>x =70°+80°=150°

c. angle DEF = (180°-angle ABC) +30°

=> angle DEF = 80°+30°

=> angle DEF = 110°

so, x = DEF (corresponding angles)

=> x = 110°

d. angle EFD = 110°

so, angle CDF = 180°-110°=70°

so, x = 180°-(70°+80°)

=> x =180°-50°

=> x =30°

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