Question

emergency needed answer

Answer 1

1+∠4=180

Given : AB||CD

To Find: ∠1+∠4

Solution:

Since AB||CD

So, \angle1=\angle3∠1=∠3 (corresponding angles are equal)

Now ,

\angle3+\angle4=180^{\circ}∠3+∠4=180

∘

(sum of linear pairs is 180°) --a

Now since we have proved above ∠1=∠3

Substitute ∠1 in place of ∠3 in equation a

So,\angle1+\angle4=180^{\circ}∠1+∠4=180

Hence the value of \angle1+\angle4=180^{\circ}∠1+∠4=180 .