Difference between revisions of "2014 AMC 8 Problems/Problem 9"
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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>? | 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>" | ||
| − | |||
| − | |||
| − | |||
| − | |||
<math>\textbf{(A) }100\qquad\textbf{(B) }120\qquad\textbf{(C) }135\qquad\textbf{(D) }140\qquad \textbf{(E) }150</math> | <math>\textbf{(A) }100\qquad\textbf{(B) }120\qquad\textbf{(C) }135\qquad\textbf{(D) }140\qquad \textbf{(E) }150</math> | ||
Revision as of 18:19, 26 November 2014
In 
, 
is a point on side 
such that 
and 
measures 
. What is the degree measure of 
?
[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("
"...[/asy]
