If a pair of adjacent angles formed by intersecting line are linear pairs, what do we know about the measures?
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.
What is the relationship between angles 4 and 5?
What are Alternate Interior Angles.
If two lines that are parallel and are intersected by a transversal that is perpendicular to the first line, what is the measure of the angles formed?
What is 90 degrees?
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.
If the measure of angle 2 is 112, what is the measure of angle 1?
What is 68.
Same side interior angles are ________ to one another. (What do we know about the measures?)
What is supplementary
If the measure of <1 is 4x-6 and the measure of <8 is 122, what is the value of x?
What is 4x-6=122 +6 +6 4x=128 x=32
Congruent angles formed by two intersecting lines. Angles are across from one another.
What are Vertical Angles.
What is the realtionship between angles 1 and 4?
What are Vertical Angles.
If the measure of angle 1 is 30o , what is the measure of angle 5?
What is 30.
If the measure of <3 is 150 and the measure of <6 is 3x, what is the value of x and what is the measure of <7?
What is <7=150; and 3x=150 x=50
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.
Lines that do not ever intersect.
What are parallel lines.
If the measure of angle 1 is 37o, what is the measure of angle 8? What is the angle relationship
What is 37, Alternate Exterior
Given that a is parallel to b, m<2=98°, then the measures of <3 and <4 are:
What is 98 and 82 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 <4?
What is 8x+35+2x+5=180 10x+40=180 10x=140 x=14 Now plug into <4. 8(14)+35=147 so <4=147.