Parallel Lines and Transversals
Special Angle Relationships
Triangles
Polygons
100

If two lines are NOT parallel and are cut by a transversal, what angle pairs are congruent? 

Vertical angles

100

If two parallel lines are cut by a transversal, what is the relationship between the corresponding angles formed?

Corresponding angles are congruent. 

100

The sum of interior angles of a triangle is....

180 degrees

100
The formula for the sum, S, of the interior angles of a polygon with n sides is...

S=180(n-2)

200

If two parallel lines are cut by a transversal, what is the relationship between the alternate interior angles formed?

Alternate interior angles are congruent. 

200

Two lines cross and form vertical angles. If one vertical angle is 10x-5 and the other is 5x+20, what is the measure of each angle? 

They're both 45 degrees.
200

The exterior angle of a triangle is...

Equal to the sum of the nonadjacent interior angles.

200

Given a regular polygon, we would use this formula to find the measure of each interior angle...

S/n

300

If two parallel lines are cut by a transversal, what is the relationship between the vertical angles formed?

Vertical angles are congruent.

300

If two parallel lines are cut by a transversal, and alternate interior angles are congruent, and if one of those alternate interior angles is x+15, and the other is 2x+5.

What is the value of x?

x = 10

300

If the angles of a triangle are 45, 60, and x, find x. 

x=75

300

A polygon has 11 sides, then the sum of the interior angles of the polygon is...

1620 degrees

400

A pair of alternate interior angles are 4x+36 and 8x-12. What is x? 

x=12

400

If two adjacent angles form a straight line, then they are supplementary. One angle is 3x+4 and the other is 2x+6, 

Find the value of x

x=34

400

If the exterior angle of a triangle is x and the two nonadjacent interior angles are 72 and 36, x is...

x=108

400

The measure of each interior angle of a regular polygon with 20 sides is...

162 degrees

500

Two parallel lines are cut by a transversal. If Angles 3 and 4 are alternate exterior angles and the measure of angle 3 is 80 degrees, what is the measure of angle 4? 

80 degrees

500

If two lines are parallel and cut by a transversal and form a pair of corresponding angles, if one of those angles is 7x+12 and the other is 3x+52...

What are the measures of each angle? 

They are both 82 degrees

500
For triangle ABC, angle A is x, Angle B is 3x, and Angle C is x+50. What is the measure of each angle? 

A=26 degrees

B=78 degrees

C=76 degrees

500

The interior angles of a regular pentagon are each 2x degrees. What is x? 

x=54

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