Answer:
various angles can be formed when two parallel lines are cut by a transverse line. They are :
i. Alternate Angles
ii. Corresponding angles
iii. Co interior angles
Step-by-step explanation:
i. Alternate angles are equal. In the given figure x and y are alternate angles where x=y. Similarly, w and v are also alternate angles and they are also equal in magnitude.
ii. Corresponding angles are also equal. In the given figure, a and y are corresponding angles where a=y. Similarly, b and v, w and c, x and d are corresponding angles and they are equal in value.
iii. The sum of co-interior angles is 180 degrees. In the given figure, v and x are co-interior angles where x+v= 180 degrees. Similarly, w and y are also co-interior angles and their sum is also 180 degrees.
These are the angles formed when two parallel lines are cut by a transversal line. The figure is in the attachment. You can find it there.
