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>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> | |
<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 18:20, 26 November 2014
In , is a point on side such that and measures . What is the degree measure of ?
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("$A$"... (Error making remote request. Unknown error_msg)