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MATH / In isosceles triangle ABC, angle BAC and angle BCA measure 35 degrees. What is the measure of angle CDA? [asy] import olympiad; import geometry; size(125); defaultpen(linewidth(0.8…

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problem

In isosceles triangle ABCABC, angle BACBAC and angle BCABCA measure 35 degrees. What is the measure of angle CDACDA? [asy] import olympiad; import geometry; size(125); defaultpen(linewidth(0.8)); draw(circle((0,0),1)); dot("FF",(0,0),dir(-90)); pair A = dir(160), B = dir(110), C = dir(40), D = dir(10); draw(A--D--C--A--B--C); label("AA",A,W); label("BB",B,N); label("CC",C,E); label("DD",D,E); [/asy]
Plain-text mathematical notation (without MathML)
In isosceles triangle ABC, angle BAC and angle BCA measure 35 degrees. What is the measure of angle CDA? [asy]
import olympiad; import geometry; size(125); defaultpen(linewidth(0.8));
draw(circle((0,0),1));
dot("F",(0,0),dir(-90));
pair A = dir(160), B = dir(110), C = dir(40), D = dir(10);
draw(A--D--C--A--B--C);
label("A",A,W); label("B",B,N); label("C",C,E); label("D",D,E);
[/asy]
Original LaTeX notation
In isosceles triangle $ABC$, angle $BAC$ and angle $BCA$ measure 35 degrees. What is the measure of angle $CDA$? [asy]
import olympiad; import geometry; size(125); defaultpen(linewidth(0.8));
draw(circle((0,0),1));
dot("$F$",(0,0),dir(-90));
pair A = dir(160), B = dir(110), C = dir(40), D = dir(10);
draw(A--D--C--A--B--C);
label("$A$",A,W); label("$B$",B,N); label("$C$",C,E); label("$D$",D,E);
[/asy]

level

Level 4

type

Geometry

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Source and history

task_id
54acf961-48bd-5c5f-9208-e4d7c392ff54
task_key
geometry--test--54acf961-48bd-5c5f-9208-e4d7c392ff54
task_revision_id
1
config / split
geometry / test

Official source

initial import