If a pair of adjacent angles formed by intersecting line are linear pairs, what is their relationship
What is 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.
Two angles whose measures add up to 90
What are Complementary Angles.
What is the relationship diagonally across the transversal and between the parallel lines?
What are Alternate Interior Angles.
You know that lines are parallel lines if corresponding angles are ______________.
congruent
If the measure of angle 8 is 112, what is the measure of angle 6? (same side interior of 2PLCbT)
What is 68.
You know that lines are parallel if same side interior angles are _____________.
supplementary
If the measure of <1 = 4x-6 and the measure of <8 = 122, what is the value of x? (<1 and <8 are Alternate exterior angles of 2PLCbT)
What is 4x-6=122 +6 +6 4x=128 x=32
Two lines that are not parallel and do not intersect.
Skew
What is the relationship between angles 1 and 4? (angles opposite each other across two intersecting lines)
What are Vertical Angles.
If the measure of angle 2 is 30, what is the measure of angle 7? (corresponding angles of 2PLCbT)
What is 30.
If the measure of <3 = 150 and the measure of <6 = 3x, what is the value of x and what is the measure of <7? (<3 and <6 are Alternate interior angles of 2PLCbT)
What is <7=150; and 3x=150 x=50
If the measure of angle 1 is 37, what is the measure of angle 8? (Alternate exterior of 2PLCbT)
What is 37
If m<1=98°, then find the measure of <2 (same side interior) and <3 (alternate interior of 2PLCbT)
What is 82 and 98 respectively
If the measure of <4 is 8x+35 and the measure of <6 is 2x+5, then find the value of x and find the measure of <8? (<4 and <6 are same side interior angles of 2PLCbT)
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.