Question

In the adjacent figure AB||CD. Prove that
x + y + z = 360°





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Answer 1

Step-by-step explanation:

Let us draw a line PQ through the point E and parallel to AB and CD

Now, b + x = 180° (co interior angles are supplementary)

And, a + z = 180° (co interior angles are supplementary)

Now, by adding all

x + a + b + z = 180°+180°

=> x + (a+b) + z = 360°

=> x + y + z = 360° (Proved)