Question

find the values a And B in each?​

Answer 1

Answer:

a)

∵ ∠D and ∠a are interior angles on the same side of the transversal

∴ m∠C = 180-m∠D

m∠C= 180-100

m∠C= 80°

∵ ∠b and ∠a are interior angles on the same side of the transversal

∴ m∠b= 180-m∠a

m∠b = 180- 80

m∠b=100° (You can use angle A instead of a(C) because the picture isn't clear for me)

b)

∵ ∠A and ∠a (B) are interior angles on the same side of the transversal\

∴ m∠a(B)= 180-m∠A

m∠a(B)= 180-140

m∠a(B)= 40°

∵∠b(C) and ∠D are interior angles on the same side of the transversal

∴m∠b(C) = 180-m∠D

m∠b(C) = 180-40

m∠b(C) = 140°

c)

∵ ∠a and ∠D are interior angles on the same side of the transversal

∴ m∠a = 180 - m∠D

m∠a = 180 - 120

m∠a = 60°

∵ ∠b and angle C are interior angles on the same side of the transversal

∴ m∠b = 180- m∠C

m∠b = 180-60

m∠b =120°