In the given figure, if l1 || l2, what is x + y in terms of w and z?
180° − w + z
180° + w − z
180° - w − z
180° + w + z
The figure is given below:
Since, y and z are alternate interior opposite angles. Therefore, these must be equal.
y = z (i)
Also x and w are consecutive interior angles.
Theorem states: If a transversal intersects two parallel lines, then each pair of consecutive interior angles are supplementary.
x +w = 180° (ii)
On adding equation (i) and (iii) , we get :
x + y + w = 180°
x + y = 180° + z - w
Video Tutorials For All Subjects
- Parallel Lines and a Transversal