Exploring Vertical Angles
Lines and Transversals
Parallel Lines
Triangle Angle Sum Theorem
Misc.
100
Which angles are supplementary to ∠DEC?
∠DEA and ∠CEB
100
What line is the transversal?
Line c.
100
If ∠d measures 67 degrees what is the measure of ∠e?
∠e measures 67 degrees.
100
The Triangle Angle Sum Theorem states....
The sum of the interior angles of any triangle is equal to 180 degrees.
100
What is the difference between problem solving and critical thinking?
Problem solving requires you to look back and reflect on the solution.
200
If ∠A = 80 degrees. What is its complement and supplement?
Complement = 10 degrees.
Supplement = 100 degrees.
200
Name the angle that corresponds to ∠7.
The angle that corresponds to ∠7 is ∠3.
200
If ∠4 measures 67 degrees what is the measure of ∠6.
∠6 measures 113 degrees.
200
What degree is ∠a?
67 degrees
200
Supplementary angles add up to how many degrees?
180 degrees
300
Name all pairs of vertical angles.
∠BEC and ∠AED
∠BEA and ∠DEC
300
Name the alternate interior angle to ∠4.
The alternate interior angle to ∠4 is ∠5.
300
What exterior angles have the same measures as ∠3?
∠2 and ∠7. ∠2 is the verical angle of ∠3. Vertical angles are congruent. When parallel lines are cut by a transversal alternate exterior angles are congruent. ∠2 and ∠7 are alternate exterior angles or ∠3 and ∠7 are corresponding angles based on the rule which makes them congruent.
300
What degree is ∠b?
113 degrees
300
What is ∠1's vertical angle?
∠1's vertical angle is ∠5.
400
What are the adjacent angles?
∠AEB and ∠BEC
∠BEC and ∠DEC
∠DEC and ∠DEA
∠DEA and ∠AEB
400
What angles are equivalent to ∠7? Explain how you know?
∠6, ∠3, and ∠2 and equivalent to ∠7. ∠7 and ∠6 are vertical angles. Vertical angles are congruent to each other. When parallel lines are intersected by a transversal, the corresponding angles are congruent, ∠7 and ∠3. ∠3 and ∠2 are vertical angles, which are congruent.
.
400
What is the value of q?
q = 20.4.
400
What degree is ∠c?
49 degrees
400
If corresponding angles are not the same degree measure, are the lines parallel?
No. If the lines cut by a transversal do not make corresponding angles of the same measure then the two lines are not parallel.
500
Two angles are supplementary. The ratio of the angles measures 4:1. What are the measures of the two angles?
144 degrees and 36 degrees.
500
What are the adjacent angles to ∠4?
∠3 and ∠2.
500
If ∠8 is 65 degrees what is ∠3?
∠3 is 65 degrees.
500
What is the measure of ∠b?
25 degrees
500
If q = 20.4, are lines BP and CG parallel?
They are not parallel.