Angle Relationships
Finding Angle Measures
Parallel & Perpendicular Lines
Finding Unknown Angle Measures
Definitons
100
Name a pair of vertical angles
1. angle INM and angle JNL 2. angle MNL and angle JNI
100
what is the measure of angle EFC Justify your answer
142 degrees, vertical to angle AFB
100
Name a pair of corresponding angles
1. angle 1 and angle 5 2. angle 3 and angle 8 3. angle 2 and angle 6 4. angle 4 and angle 7
100
What is the measure of angle 6 *Justify your answer using either corresponding angles, alternate interior angles, alternate exterior angles, or same-side interior angles
110 degrees, corresponding angle with angle 4, corresponding angles are congruent
100
1. A pair of opposite congruent angles formed by intersecting lines. 2. Angles in the same plane that have a common vertex and a common side
1. Vertical Angles 2. Adjacent Angles
200
Name a pair of adjacent angles
1. angle INM & angle MNL 2. angle MNL & angle LNK 3. angle MNL & angle LNJ 4. angle LNK & angle KNJ 5. angle LNK & angle KNI 6. angle KNJ & angle JNI 7. angle JNI & angle INM
200
what is the measure of and CFB Justify your answer
38 degrees, it is supplementary to angle AFB
200
Name a pair of Same-Side Interior Angles
1. angle 4 and angle 6 2. angle 3 and angle 5
200
What is the measure of angle 3 *Justify your answer using either corresponding angles, alternate interior angles, alternate exterior angles, or same-side interior angles
70 degrees, alternate interior angle with angle 5, alternate interior angles are congruent
200
1. Two angles whose measures have a sum of 180 degrees 2. Two angles whose measures sum to 90 degress
1. Supplementary Angles 2. Complementary Angles
300
Name a pair of supplementary angles
1. angle INM & angle MNL 2. angle MNL & angle LNJ 3. angle LNJ & angle JNI 4. angle JNI & angle INM
300
what is the measure of andle CFD Justify your answer
90 degrees, it is supplementary to angle DFA
300
Name a pair of Alternate Interior Angles
1. angle 3 and angle 6 2. angle 4 and angle 5
300
What is the measure of angle 2 *Justify your answer using either corresponding angles, alternate interior angles, alternate exterior angles, or same-side interior angles
110 degrees, same-side interior angle with angle 7, same side-interior angles are supplementary
300
For two lines intersected by a transversal. A pair of angles that line on the same side of the transversal and on the same sides of the other two lines Drawing a picture may help you!
Corresponding Angles
400
Name a pair of complementary angles
angle KNL & angle JNI
400
what is the measure of angle EFA Justify your answer
38 degrees, it is vertical to angle CFB which is supplementary to angle AFB (142 degrees)
400
Name a pair of Alternate Exterior Angles
1. angle 2 and angle 8 2. angle 1 and angle 7
400
What is the measure of angle 8 *Justify your answer using either corresponding angles, alternate interior angles, alternate exterior angles, or same-side interior angles
110 degrees, alternate exterior angle with angle 4, alternate exterior angles are congruent
400
For two lines intersected by a transversal. A pair of angles that line on the same side of the transversal, between the parallel lines. Drawing a picture may help you!
Same-Side Interior Angles
500
What is true about the angle measures in a pair of vertical angles.
They are the same, equal, congruent
500
what is the measure of angle DFE Justify your answer
52 degrees, it is complementary to angle EFA which is vertical to angle BFC which is supplementary to angle AFB
500
What is the relationship between angle 3 and angle 6
They are alternate interior angles
500
What is the measure of angle 7 *Justify your answer using either corresponding angles, alternate interior angles, alternate exterior angles, or same-side interior angles
70 degrees, angle 1 is 70 degrees because it is a corresponding angle with angle 5 and corresponding angles are congruent. Angle 7 is an alternate exterior angle with angle 1 and alternate exterior angles are congruent.
500
For two lines intersected by a transversal. A pair or nonadjacent angles that lie on opposite sides of the transversal and between the other two lines. Drawing a picture may help you!
Alternate Interior Angles