Vocabulary
Any line that intersects two or more parallel lines.
What is a transversal
these angles are on the inside of the two parallel lines and on the same side of the transversal.
What are Same Side Interior Angles
Two angles are congruent (equal). The measure of the first angles is 42 degrees, what is the measure of the second angle
What is 42
What do we know about linear pairs when you add them together.
supplementary
If a transversal cuts two parallel lines, how many angle measures do you need to know to figure out all 8 angle measures in the figure.
What is 1.
What is the relationship between angles 4 and 5?
What are same side interior Interior Angles.
corresponding angles are
equal
If a transversal cuts two non-parallel lines, at least how many angles do you need to know to figure out all 8 angles in the figure?
What is 2.
Angles that are in the same spot on different intersections are called this.
What are Corresponding Angles.
A pair of adjacent angles forming a straight line.
What are Linear Pair Angles.
If the measure of angle 8 is 112, what is the measure of angle 6?
What is 112
same side interior angles are
supplementary
If the measure of <1 is 4x-6 and the measure of <5 is 122, what is the value of x?
What is 4x-6=122 +6 +6 4x=128 x=32
Angles that are across from the intersection from each other are this.
What are Vertical Angles.
these angles are located on the outside of the two parallel lines and on the same side of the transversal.
What are Same Side Exterior Angles.
What is the realtionship between angles 1 and 3?
What are Vertical Angles.
If the measure of angle 2 is 30 , what is the measure of angle 6?
What is 30.
If the measure of <3 is 150 and the measure of <5 is 3x, what is the value of x and what is the measure of <7?
What is <7=150; and 3x=150 x=50
These angles are inside of the two parallel lines and on opposite sides of the transversal.
What are Alternate Interior Angles.
lines that will never intersect.
What are parallel lines.
If the measure of angle 1 is 37, what is the measure of angle 8? What is the angle relationship
What is 143, same side exterior.
m<1=98°, then the measures of <3 and <8 are:
What is 98 and 82 respectively
If the measure of <4 is 8x+35 and the measure of <5 is 2x+5, then find the value of x and find the measure of <8?
What is 8x+35+2x+5=180 10x+40=180 10x=140 x=14 Now plug into <4 because it is congruent (corresponding) to <8. 8(14)+35=112 so <8=112.