Angles BCE and CED are alternate interior angles.
What angles are formed when two parallel lines are intersected by a transversal?
- Corresponding Angles: Two angles when they occupy corresponding positions, are called corresponding angles. In the figure, these are the pairs of corresponding angles - (1, 5), (2, 6), (3, 7), (4, 8). Corresponding angles are always equal.
- Alternate interior angles: Two angles that lie between the parallel sides on opposite sides of the transversal, but are not linear pairs, are called alternate interior angles. They are always equal. In the figure, these are the pairs of alternate interior angles - (3, 6), (4, 5).
- Alternate exterior angles: Two angles that lie outside parallel lines on opposite sides of the transversal, but are not linear pairs, are alternate exterior angles. They are always equal. In the figure, these are the pairs of alternate exterior angles - (2, 7), (1, 8).
- Same side interior angles: Two angles that lie between the parallel sides on the same side of the transversal are called same side interior angles. They are always supplementary(sum = 180°). In the figure, these are the pairs of same side interior angles - (3, 5), (4, 6).
- Same side exterior angles: Two angles that lie outside the parallel sides on the same side of the transversal are called same side exterior angles. They are always supplementary(sum = 180°). In the figure, these are the pairs of same side exterior angles - (1, 7), (2, 8).
How do we solve the given question?
Angles BCE and CED are in between the parallel lines on the opposite side of the transversal and are not linear pairs, so they are alternate interior angles.
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