Question

in adjoining diagram, lines AB,CD and EF are parallel. Calculate the values of x and y. hence, find the reflex angel ECA​

Answer 1

Step-by-step explanation:

Extend CE to M and extend AC to N

Now follow the solution attached.

For second part:

Angle ECA = x + y = 40° + 60° = 100°

Hence reflex angle ECA = 360° - angle ECA

or Reflex angle ECA = 360° - 100° = 260°

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Answer 2

Step-by-step explanation:

As EF and CD are parallel ,so

120° + x = 180° ( consecutive interior angles )

→ x = 180 - 120

= 60°

As AB and CD are parallel ,so

140° + y = 180°

→ y = 180 - 140

= 40°

angle ECA = x + y

= 60 + 40

= 100°