MathDB

21

Part of 1999 AMC 8

Problems(1)

1999 AMC 8 #21

Source:

6/17/2011
The degree measure of angle AA is [asy] unitsize(12); draw((0,0)--(20,0)--(1,-10)--(9,5)--(18,-8)--cycle); draw(arc((1,-10),(1+19/sqrt(461),-10+10/sqrt(461)),(25/17,-155/17),CCW)); draw(arc((19/3,0),(19/3-8/17,-15/17),(22/3,0),CCW)); draw(arc((900/83,-400/83),(900/83+19/sqrt(461),-400/83+10/sqrt(461)),(900/83 - 9/sqrt(97),-400/83 + 4/sqrt(97)),CCW)); label(rotate(30)*"40∘40^\circ",(2,-8.9),ENE); label("100∘100^\circ",(21/3,-2/3),SE); label("110∘110^\circ",(900/83,-317/83),NNW); label("AA",(0,0),NW);[/asy]
(A) 20(B) 30(C) 35(D) 40(E) 45 \text{(A)}\ 20\qquad\text{(B)}\ 30\qquad\text{(C)}\ 35\qquad\text{(D)}\ 40\qquad\text{(E)}\ 45