Question

Please answer the above question
with full explanation
that how you founded the value of x and y​

Answer 1

Answer:

x+120=180[co-interior angles]

x=180-120

x=60

y+140=180[co-interior angles]

y=180-140

y=40

Reflex Angle ECA=60+40

=100

Answer 2

Answer:

x = 60°, y = 40°, reflex angle ECA = 260°

Step-by-step explanation:

If we produce all the three lines AB, CD, and EF from point A, C, and E respectively using a dotted line, then we will see that all the three lines have a common transversal.

Since AB and CD are parallel, we can find 'y' by Co-interior Angles or Interior Angles on the same side of the transversal.

Angle BAC + y = 180° (Co-interior Angles)

140° + y = 180°

y = 180°-140°

y = 40°

Since CD and EF are parallel, we can find 'x' by Co-interior Angles or Interior Angles on the same side of the transversal.

Angle FEC + x = 180°

120° + x = 180°

x = 180° - 120°

x = 60°

We know that sum of all the angles is 360°.

Therefore, x+y+ reflex angle ECA = 360°

reflex angle ECA= 360° - (x+y) = 360°-(40°+60°)

= 360°-100°

= 260°