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<p> Draw an angle mark. First the vertex of the angle must be drawn before. Select one side of the angle, then select the other. Then a angle mark from the first side to the second side is drawn with the degree of the angle near the mark. </p>
<p> Here we are using full-angles instead of the traditional angles defined in geometry textbooks. Two full-angles are equal (congruent) iff they have: <br/>
</p>
<ol>
<li> The same orientation and the same degree. <strong>Or</strong><br/>
</li>
<li> The opposite orientations and the sum of two angles is 180.<br/>
</li>
</ol>
The full-angle method can automatically generate short (sometimes even shorter than those given by geometry experts) and elegant proofs of some extremely difficult theorems.