Question 733048
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What is the measure of each base angle of an isosceles triangle if its vertex 
angle measures 24 degrees and its two congruent sides measure 11 units?
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<pre>
The measure of the base angle is  {{{(180-24)/2}}} = {{{156/2}}} = 78 degrees.


It does not depend on the measure of the lateral sides of this triangle,
which was given to you in this problem with the only goal to confuse you.
</pre>

Solved.