MathDB
Smallest Possible Measure of an Angle

Source: 2012 AMC10A Problem #4

February 8, 2012
AMC

Problem Statement

Let ABC=24\angle ABC=24^\circ and ABD=20\angle ABD =20^\circ. What is the smallest possible degree measure for CBD\angle CBD?
<spanclass=latexbold>(A)</span> 0<spanclass=latexbold>(B)</span> 2<spanclass=latexbold>(C)</span> 4<spanclass=latexbold>(D)</span> 6<spanclass=latexbold>(E)</span> 12 <span class='latex-bold'>(A)</span>\ 0 \qquad<span class='latex-bold'>(B)</span>\ 2 \qquad<span class='latex-bold'>(C)</span>\ 4 \qquad<span class='latex-bold'>(D)</span>\ 6 \qquad<span class='latex-bold'>(E)</span>\ 12