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

Revision as of 18:16, 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 1: / Line 1: @@
-<math> \textbf{(A) }100\qquad\textbf{(B) }120\qquad\textbf{(C) }135\qquad\textbf{(D) }140\qquad\textbf{(E) }150 </math>
+In <math>\bigtriangleup ABC</math>, <math>D</math> is a point on side <math>\overline{AC}</math> such that <math>BD=DC</math> and <math>\angle BCD</math> measures <math>70^\circ</math>. What is the degree measure of <math>\angle ADB</math>?
+[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("<math>A</math>", A, SW);
+dot("<math>B</math>", B, NE);
+dot("<math>C</math>", C, SE);
+dot("<math>D</math>", D, S);
+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>

Page

Toolbox

Search

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

Revision as of 18:16, 26 November 2014