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 $\angle ADB$ ?

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));\ (Error making remote request. Unknown error_msg)

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

@@ Line 7: / Line 7: @@
 draw(A--B--C--A);
 draw(D--B);
-dot("<math>A</math>", A, SW);
+dot("$A$", A, SW);
-dot("<math>B</math>", B, NE);
+dot("$B$", B, NE);
-dot("<math>C</math>", C, SE);
+dot("$C$", C, SE);
-dot("<math>D</math>", D, S);
+dot("$D$", D, S);
-label("<math>70^\circ</math>",C,2*dir(180-35));\<\asy>
+label("$70^\circ$",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