Question

In The given figure , AB||CD , Find a the value of angle 1 and Angle 4

Answer 1

The sum is 180degrees as per the corresponding angles of the transversal angle1 and angle3 are same and angle 2 and angle4 are same. And also EF is 180degrees as it is a straight line. So angle1 + angle 4 = 180 degrees

Answer 2

Answer:

$\angle1+\angle4=180^{\circ}$

Step-by-step explanation:

Given :  AB||CD

To Find: ∠1+∠4

Solution:

Since AB||CD

So, $\angle1=\angle3$ (corresponding angles are equal)

Now ,

$\angle3+\angle4=180^{\circ}$ (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,$\angle1+\angle4=180^{\circ}$

Hence the value of $\angle1+\angle4=180^{\circ}$