What is transversal?
What is any line that intersects two or more parallel lines.
Two angles are congruent. The measure of the first angles is 42 degrees, what is the measure of the second angle
What is 42?
If a pair of adjacent angles formed by intersecting line are linear pairs, what is their relationship?
What is supplementary
Adjacent Angles
A pair of angles that share a vertex and a side.
Ray BH is an angle bisector for angle ABC. ∠ABH = 11x + 4 and ∠HBC = 12x - 7. Find x.
What is x = 11
What are two angles whose measures add up to 180 degrees.
What are supplementary angles?
What is the relationship between angles 3 and 6 ?
What are Alternate Interior Angles.
If the measure of angle 2 is 30 degrees, what is the measure of angle 6?
What is 30.
Parallel Lines
Straight lines that never intersect
Ray FD is an angle bisector for angle GFH. ∠GFD = 7x + 2 and ∠DFH = 3x + 22. Find x.
What is x = 5
When 2 parallel lines are both intersected by a transversal, these angles occupy the same position on the top and bottom parallel lines.
What are Corresponding Angles.
If the measure of angle 4 is 112, what is the measure of angle 6?
68 degrees
If the measure of angle 1 = 146 what is the measure of angle 5?
What is 146?
Liner Pair Angles
A pair of adjacent angles formed by intersecting lines. These angles are also supplementary.
Ray LT is an angle bisector for angle KLM. ∠KLM = 10x and ∠TLM = 2x+15.
What is x = 5
Congruent angles formed by two intersecting lines. These angles are located across from each other.
What are vertical angles?
What is the relationship between angles 5 and 8?
What are Vertical Angles.
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.
Same-side Interior angles (consecutive)
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.
Ray SR is an angle bisector for angle PSQ. ∠PSR = 3x+1 and ∠PSQ = 74.
What is x = 12
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?
If angle 1 and angle 2 are Adjacent Angles that add up to 90 degrees and angle 1 = 3q degrees and angle 2 = 3q+6 degrees, what is the value of q?
What is q= 14 degrees.
If angle 1 and angle 2 are Adjacent Angles that add up to 180 degrees and angle 1 = 4x+20 degrees and angle 2 = x degrees, what is the value of x?
What is x= 32 degrees
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.
Ray FD is an angle bisector for angle GFH. ∠GFD = 3x and ∠DFH = 2x - 6.
Find x.
What is x = -6