Matt is 15 years younger than angela. 9 years ago, angela's age was 2 times matt's age. how old is matt now?

In the figure below, segment ac is congruent to segment ab: which statement is used to prove that angle abd is congruent to angle acd? a.)triangle acd is similar to triangle abd. b.)triangle acd is congruent to triangle abd. c.)segment a.d. is congruent to segment ac. d.)segment a.d. is congruent to segment dc.