Vocab Part I
Vocab Part II
Identify the
Angle Relationship
Angle Relationship
Solving Equations to Find Angles
Polygons
100
Two lines that never intersect.
Parallel Lines
100
Having the same measure (equal).
Congruent
100
What is the relationship between ∠3 and ∠6?
Alternate Interior Angles
100
Given m∠3 = 120o, Find m∠5.
m∠5 = 60o
100
The sum of interior angles of a triangle.
180o
200
A line that intersects two or more parallel lines.
Transversal
200
Two angles that add up to 180 degrees.
Supplementary Angles
200
What is the relationship between ∠5 and ∠8?
Vertical Angles
200
Given m∠2 = 100o, and m∠7 = 5x. Find x.
x = 20
200
The sum of exterior angles of a polygon.
360o
300
Two congruent angles on opposite sides of the transversal and inside the parallel lines.
Alternate Interior Angles
300
A pair of opposite, congruent angles across from each other formed by two intersecting lines.
Vertical Angles
300
What is the relationship between ∠1 and ∠8?
Alternate Exterior Angles
300
Given m∠5 = 4x + 15, and m∠4 = 9x. Find m∠5.
m∠5 = 27o
300
The sum of interior angles of a polygon with n sides.
(n-2)(180)o
400
Two angles on same side of the transversal and inside the parallel lines.
Same-Side Interior Angles
400
The theorem that tells us that if 2 corresponding angles in triangles are congruent, then the triangles are similar.
Angle Angle Theorem
400
What is the relationship between ∠4 and ∠6?
Same Side Interior Angles
400
Given m∠3 = 2x + 40, and m∠7 = 3x + 20. Find m∠3.
m∠3 = 80o
400
The sum of the interior angles of a polygon is 1980o. How many sides does the polygon have?
13 sides
500
Two adjacent angles on the same line.
Linear Pair
500
Two congruent angles located in the same position, but on a different parallel line (1 inside and 1 outside the parallel lines).
Corresponding Angles
500
What is the relationship between ∠4 and ∠8?
Corresponding Angles
500
Given m∠4 = 5x + 44, and m∠6 = 6x + 48. Find m∠6.
m∠6 = 96o
500
What is the measure of one interior angle of a regular 15-gon?
156 degrees