What is a transversal
Any line that intersects two or more parallel lines.
Draw Parallel lines
Straight lines that never intersect
Angles that are the same size
What are congruent angles?
Draw Complementary Angles
Two angles whose measures add up to 90
What is the measurement of angle x?
53 degrees?
Corresponding angles are ________________ (congruent or supplementary)
What is congruent?
Draw Consecutive 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 6 = 75 and the measure of angle 7=3x, what is the value of x?
What is
3x=75
x=25
Congruent angles formed by two intersecting lines. These angles are located across from each other.
What are vertical angles?
Draw Alternate Exterior 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.
If the measure of angle 2 is 37 degrees, what is the measure of angle 7? What is the angle relationship?
What is 37 and Alternate Exterior Angle?
Given that the measure of angle 5 is 98°, then the measures of angles 3 and 4 are:
Angle 3 =82 degrees and angle 4= 98 degrees
If the measure of angle 4 is 112, what is the measure of angle 6?
What is 68. (consecutive interior angles)
When 2 parallel lines are both intersected by a transversal these angles are inside of the two parallel lines and on opposite sides of the transversal.
What are Alternate Interior Angles?
Draw supplementary angles.
Two angles that add up to 180
If the measure of angle 4 is 5x+3 and the measure of angle 6 is 8x-5, then find the value of x.
5x+3+8x-5=180
x=14
If the measure of angle 1 = 4x-6 and the measure of angle 5 =122, what is the value of x?
What is 4x-6=122
+6 +6
4x=128
x=32
What is the measurement of angle x?
What is 79o