<PRE><B>Question 1182638</B>
&lt;br&gt;
Let angle ABC be 2x degrees
Let angle BAC be 2y degrees&lt;br&gt;
Then the angle we are to find, ACB, is (180-(2x+2y)) degrees.&lt;br&gt;
Angles EBA and EBC are each x degrees; angles DAB and DAC are each y degrees.&lt;br&gt;
Angle BEC is 75 degrees, so angle BEA is 180-75=105 degrees; angle ADC is 84 degrees, so angle ADB is 180-84=96 degrees.&lt;br&gt;
In triangle ABD,&lt;br&gt;
96+2x+y=180 [1]&lt;br&gt;
In triangle ABE,&lt;br&gt;
105+x+2y=180 [2]&lt;br&gt;
Solve the pair of equations [1] and [2] to find x and y; then use those to find the answer to the problem.&lt;br&gt;
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