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Geo: Angle Addition w/ Bisectors
Contributed by: Pappal
not to scale
O
A
∡AOB =
∡BOC =
B
C
∡AOB = x - 4
∡BOC = x + 13
∡AOC = 19
x =
not to scale
O
A
∡BOC =
∡AOB =
B
C
∡AOB = 2x + 40
∡BOC = x + 34
∡AOC = 80
x =
not to scale
O
A
∡BOC =
∡AOB =
B
C
∡AOB = x - 5
∡BOC = x + 20
∡AOC = 35
x =
not to scale
O
A
∡AOC =
∡BOC =
∡AOB =
B
C
∡AOB = 2x + 11
∡BOC = 3x + 9
∡AOC = x + 60
x =
not to scale
O
A
∡BOC =
∡AOB =
B
C
∡AOB = x - 18
∡BOC = x - 12
∡AOC = 10
x =
Linear Pair
∡ 2 = x + 10
∡ 1 = x-12
∡ 1 =
∡ 2 =
x =
Linear Pair
∡ 2 = 100
∡ 1 = 2x + 4
∡ 1 =
x =
Linear Pair
∡ 2 = x + 69
∡ 1 = x-19
∡ 1 =
∡ 2 =
x =
∡1 and ∡2 are complementary
∡ 2 = x - 9
∡ 1 = x + 1
∡ 1 =
∡ 2 =
x =
∡1 and ∡2 are complementary
∡ 2 = x - 4
∡ 1 = x + 2
∡ 1 =
∡ 2 =
x =
L
M
O
x =
∡LMN =
N
MO is an angle bisector
∡NMO = 2x + 32
∡LMO = 6x - 20
L
M
O
x =
∡LMN =
N
MO is an angle bisector
∡NMO = 2x + 34
∡LMO = 8x - 20
L
M
O
N
∡NMO =
∡LMN =
MO is an angle bisector
∡LMO = 32
L
M
O
N
∡NMO =
∡LMN =
MO is an angle bisector
∡LMO = 13
L
M
O
N
∡NMO =
∡LMO =
MO is an angle bisector
∡LMN = 70
L
M
O
N
∡NMO =
∡LMO =
MO is an angle bisector
∡LMN = 58
L
M
O
x =
∡LMN =
N
MO is an angle bisector
∡NMO = 2x + 34
∡LMO = 7x - 21
not to scale
O
A
∡BOC =
B
C
∡AOB = 20
∡AOC = 65
not to scale
O
A
∡AOC =
B
C
∡AOB = 15
∡BOC = 45
not to scale
O
A
∡AOB =
B
C
∡BOC = 50
∡AOC = 80
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