Question

Refer the figure below. Which of the following angles are corresponding angles?

• A. $\angle$1 and $\angle$11
• B. $\angle$5 and $\angle$7
• C. $\angle$10 and $\angle$12
• D. $\angle$14 and $\angle$15

Answer 1

Answer: (B), (C)

The correct options are
B $\angle$5 and $\angle$7
C $\angle$10 and $\angle$12

Corresponding angles are those angles which have different vertices and are formed on the same side of the transversal where in each pair, one is an interior angle while the other is an exterior angle.

If l and m are parallel, s and t act as transversal, $\angle$1 and $\angle$11 cannot form corresponding angles.

If s and t are parallel, l and m act as transversals, $\angle$5 and $\angle$7, $\angle$10 and $\angle$12 form corresponding angles while $\angle$14 and $\angle$15 form co-interior angles.

Hence, $\angle$5 and $\angle$7, $\angle$10 and $\angle$12 are corresponding angles.