Find the value of each variable

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Step-by-step explanation:

x= 113

x and y are linear pair so they add up to 180 if you know x then subtract x from 180 you get y

y = 67

know you know y and other value in triangle is 64 add them and subtract from 180 you get 49 because all the degrees in triangle add up to 180

z= 49

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Step-by-step explanation:

x + 28⁰ + 39 = 180⁰ (angle sum property)

x = 113⁰

y = 28 + 39 = 67⁰

z + 67 + 64 = 180⁰ (angle sum property)

z = 49⁰

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)