
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In the diagram, $ABC$ is a straight line and $\angle DBC = 70^\circ$. $AD$ intersects $BC$ at point $D$. If $AD = BD$ and $\triangle BDE$ is an isosceles triangle with $BE=DE$, find the measure of $\angle ADE$.

[asy]
draw((.48,-.05)--(.48,.05)); draw((.52,-.05)--(.52,.05)); draw((1.48,-.05)--(1.48,.05)); draw((1.52,-.05)--(1.52,.05));

draw((0,0)--(2,0)--(1.17,.98)--cycle);
label("$A$",(0,0),SW); label("$C$",(2,0),SE); label("$D$",(1,0),S); label("$E$",(1.17,.98),N);

label("$70^\circ$",(1,0),NE);
draw((1,0)--(1.17,.98));
[/asy]

Present the answer in LaTex format: \boxed{Your answer}
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