Define types of angle and give examples like alternate angle?
1. Vertical angles: Vertical angles are formed by two intersecting lines. They are always congruent (having the same measure) and are located across from each other. Examples include angles 1 and 4, or angles 2 and 3 in the diagram below:
1 2
3 4
2. Complementary angles: Complementary angles are two angles that add up to 90 degrees when combined. Examples include angles that measure 30 degrees and 60 degrees.
3. Supplementary angles: Supplementary angles are two angles that add up to 180 degrees when combined. Examples include angles that measure 100 degrees and 80 degrees.
4. Corresponding angles: Corresponding angles are pairs of angles that are in the same position on two different lines when these lines are intersected by a third line. Examples include angles 1 and 5, or angles 2 and 6 in the diagram below:
1 2
\ /
\ /
5
6
5. Alternate interior angles: Alternate interior angles are angles that are on opposite sides of the transversal line and inside the parallel lines. The measure of alternate interior angles are equal. Examples include angles 3 and 6, or angles 4 and 5 in the diagram below:
1
\
\
3 \ 4
\
\
5
/
2 6