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.
Lines m and n are parallel. Find the value of x
x=59
Lines m and n are parallel. Setup an equation and Solve for x.
3x+7=x+19
2x=12
x=6
What is the value of x? All angles form a triangle.
58+39+x=180
x=83
Use the diagram below to find the value of x.
180-125=55
55+90+x=180
x=35
Name the relationship for angles 1 and 5 and state if they are congruent, or add up to 180 degrees.
Corresponding Angles
Lines m and n at parallel. Find x and y.
y=40
x=140
Lines m and n are parallel. Setup an equation and Solve for x.
3x+13=85
3x=72
x=24
3 angles form a triangle below. What is the value of x?
x+90+32=180
x=58
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
Name the relationship for angles 3 and 6 and state if they are congruent, or add up to 180 degrees.
Alternate Interior Angles
Congruent
Lines m and n are parallel. Find the value of x and y.
y=137
x=43
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
3 angles form a triangle. Setup an equation and solve for x.
80+38+5x+12=180
130+5x=180...5x=50
x=10
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