Parallel lines.
Straight lines that never intersect
Two angles are congruent. The measure of the first angles is 42 degrees, what is the measure of the second angle
42
If a pair of adjacent angles formed by intersecting line add up to 180 degrees, what is their relationship?
Supplementary
If a transversal cuts two parallel lines, how many angles are formed?
8
What is the value of angle T?
T = 71
What is the Exterior Angle Theorem?
Complementary Angles
Two angles whose measures add up to 90
What is the relationship between angles 3 and 6 ?
Alternate Interior Angles.
One way to prove that lines are parallel lines is through understanding that corresponding angles are...
Congruent
What are angles that are across from each other called?
Vertical angles
What is the sum of the angles in a triangle?
The sum of angles in a triangle is 180 degrees
What is the measure of ∠ x
∠x= 149
Supplementary Angles
A pair of adjacent angles that add up to 180 degrees.
If the measure of angle 4 is 112, what is the measure of angle 6?
68
What kind of angle add up to 180 degrees?
Supplementary Angles
If the measure of angle 1 = 146 what is the measure of angle 5?
146
Find the value of ∠ x if <C = 72
∠ x = 70
What is the measure of the exterior angle?
105
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.
What is the relationship between angles 5 and 8?
Vertical Angles.
If the measure of angle 2 is 30 degrees, what is the measure of angle 6? What is the angle relationship?
30. Corresponding angles.
If the measure of angle 6 = 75 what is the measure of angle 7? What is the angle relationship?
75. Vertical Angles.
What is the value of ∠ a?
∠ a = 87
What is the measure of the exterior angle?
150 degrees
Alternate Interior Angles
If two parallel lines are cut by a transversal, these angles are on the inside of the two parallel lines and 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.
Given that a || m, measure of angle 5=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 1270 what is the measure of angle 7? Explain how you know.
53. Angle 4 and angle 8 are corresponding angles, and Angle 7 is supplementary to angle 8. (180-127=53)
Find the missing angle measure:
75
What is the measure of the exterior angle?
60 degrees