What is a transversal
Any line that intersects two or more parallel lines.
Two angles are opposite. The measure of the first angles is 42 degrees, what is the measure of the second angle and why?
42 - vertically opposite angles
If a pair of adjacent angles formed by intersecting line add to 180, what is their relationship?
Supplementary angles or "angles on a straight line.
If a transversal cuts two parallel lines, how many angles are formed?
8
What is the relationship between angles 3 and 6 ?
Alternate Angles (Z or N).
If the measure of angle 4 is 100 degrees, what is the measure of angle 5, and why?
What is 100 degrees because they are alternate interior angles.
What is the measure of angle a, and why?
50 degrees because they're complimentary.
These angles are equal and form an F pattern.
Corresponding Angles.
Supplementary angles
A pair of adjacent angles formed by intersecting lines. These angles are also supplementary.
If the measure of angle 4 is 112, what is the measure of angle 6?
68. (co-interior angles)
If the measure of angle 6 is 72 degrees, what is the measure of angle 4, and why?
108 degrees since they are co-interior.
What is the measure of angle c, and why?
60 degrees because they're supplementary.
What are vertically opposite angles?
Equal angles formed by two intersecting lines. These angles are located across from each other.
Alternate Angles
If two parallel lines are intersected by a transversal, these angles are located on the outside of the two parallel lines on opposite sides of the transversal.
What is the relationship between angles 5 and 8?
vertically opposite Angles.
If the measure of angle 2 is 30 degrees , what is the measure of angle 6, and why?
30, because they are corresponding.
What is the measure of angle g, and why?
50 degrees because they're opposite.
What are Alternate Angles?
Two angles that are equal that form a N or Z pattern.
Co-interior angles
If two parallel lines are cut by a transversal, these angles are on the inside of the two parallel lines and on the same side of the transversal.
If the measure of angle 2 is 37 degrees, what is the measure of angle 7? What is the angle relationship?
37
If the measure angle 5 is 98 degrees, what is the measure of angles 3 AND 4, and why?
What is angle 3 =82 degrees because they are co-interior and angle 4= 98 degrees because they are alternate interior.
What is the measure of angle i, and why?
48 degrees because they're complementary.