Angle Names
Angle Values
Parallel Lines and Transversal Equations
Triangles Angles
Interior Angles
Triangle Angles
Multiple Steps
100

Name the relationship for angles 2 and 4 and state if they are congruent, or add up to 180 degrees.

Linear Pair, or Adjacent...

Add up to 180 degrees.

100

Lines m and n are parallel.  Find the value of x

x=59

100

Lines m and n are parallel.  Setup an equation and Solve for x.

3x+7=x+19

2x=12

x=6

100

What is the value of x?  All angles form a triangle.

58+39+x=180

x=83

100

Use the diagram below to find the value of x.

180-125=55

55+90+x=180

x=35

200

Name the relationship for angles 1 and 5 and state if they are congruent, or add up to 180 degrees.

Corresponding Angles

200

Lines m and n at parallel. Find x and y.

y=40

x=140

200

Lines m and n are parallel.  Setup an equation and Solve for x.

3x+13=85

3x=72

x=24

200

3 angles form a triangle below.  What is the value of x?

x+90+32=180

x=58

200

Line Segments EG and AD are parallel. 

Angle GFC = 56.  What is angle HBC = ?

angle HCB=56

56+90+angle HBC=180

angle HBC=34

300

Name the relationship for angles 3 and 6 and state if they are congruent, or add up to 180 degrees.

Alternate Interior Angles

Congruent

300

Lines m and n are parallel.  Find the value of x and y.

y=137

x=43

300

Lines m and n are parallel.  Setup equations and solve for x and y.

9x-12+5x-4=180

14x=196...x=14

9(14)-12=114...y=66

300

3 angles form a triangle.  Setup an equation and solve for x.

80+38+5x+12=180

130+5x=180...5x=50

x=10


300

In ΔLMN, m∠L=(4x−4), m∠M=(x−8), and m∠N=(6x−6). 

Solve for x and Find m∠N.

4x-4+x-8+6x-6=180...11x-18=180

11x=198...x=18

m∠N=6(18)−6 = 102