The sum of two consecutive odd numbers is 156. what are the two numbers

two consecutive odd integers: n, n+2

n+n+2 = 156

2n+2 = 156

subtract 2 from each side

2n = 154

divide by 2

n = 77

77, 79

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)