MathDB

The degree measure of angle

A

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^\circ

",(2,-8.9),ENE); label("

100^\circ

",(21/3,-2/3),SE); label("

110^\circ

",(900/83,-317/83),NNW); label("

A

",(0,0),NW);[/asy]

\text{(A)}\ 20\qquad\text{(B)}\ 30\qquad\text{(C)}\ 35\qquad\text{(D)}\ 40\qquad\text{(E)}\ 45

Problem Statement