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> |
| + | 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> | ||
<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 18:22, 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("$A$", 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)
