Difference between revisions of "2014 AMC 8 Problems/Problem 9"

Revision as of 18:23, 26 November 2014

In $\bigtriangleup ABC$ , $D$ is a point on side $\overline{AC}$ such that $BD=DC$ and $\angle BCD$ measures $70^\circ$ . What is the degree measure of $\angle ADB$ ?

<asy> size(300); defaultpen(linewidth(0.8)); pair A=(-1,0),C=(1,0),B=dir(40),D=origin; draw(A--B--C--A); draw(D--B); dot(" $A$ ", A, SW); dot(" $B$ ", B, NE); dot(" $C$ ", C, SE); dot(" $D$ ", D, S); label(" $70^\circ$ ",C,2*dir(180-35));\<\asy>

$\textbf{(A) }100\qquad\textbf{(B) }120\qquad\textbf{(C) }135\qquad\textbf{(D) }140\qquad \textbf{(E) }150$

@@ Line 7: / Line 7: @@
 draw(A--B--C--A);
 draw(D--B);
-dot("$A$", A, SW);
+dot("<math>A</math>", A, SW);
-dot("$B$", B, NE);
+dot("<math>B</math>", B, NE);
-dot("$C$", C, SE);
+dot("<math>C</math>", C, SE);
-dot("$D$", D, S);
+dot("<math>D</math>", D, S);
-label("$70^\circ$",C,2*dir(180-35));\</asy>
+label("<math>70^\circ</math>",C,2*dir(180-35));\<\asy>
 <math>\textbf{(A) }100\qquad\textbf{(B) }120\qquad\textbf{(C) }135\qquad\textbf{(D) }140\qquad \textbf{(E) }150</math>

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Difference between revisions of "2014 AMC 8 Problems/Problem 9"

Revision as of 18:23, 26 November 2014