Question

In the figure, AB||CD, what is x+y? ​

Answer 1

x+y=100

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Answer 2

100°

Solution:

x = 40° [Alternate interior angles]

y = 60° [Alternate interior angles]

x + y = 40° + 60° = 100°

or

Let the third angle of the triangle be z.

40° + 60° + z = 180° [Angle sum property]

100° + z = 180°

x + y + z = 180° [Angles on a line]

100° + z = x + y + z

x + y = 100°