2014 AMC 8 Problems/Problem 9: Difference between revisions

Revision as of 18:19, 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(" $A$ "...[/asy]

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

@@ Line 1: / Line 1: @@
 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]
+[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>"...[/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>

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2014 AMC 8 Problems/Problem 9: Difference between revisions

Revision as of 18:19, 26 November 2014