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On hypotenuse AB of right triangle ABC, D is the point for which CB = BD.  If angle B measures 40 degrees, find the measure of angle ACD.

 Dec 6, 2019
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              A

       D  

 

B           C 

 

In triangle CBD,  angle  CBD  =  40°

And since CB = BD     then angle BDC  = angle BCD  =  [ 180 - 40] / 2  = 140 / 2  = 70°   

 

And  angle  BCA  =  angle BCD + angle ACD......

And angle  BCA  = 90    and angle BCD  = 70

So

 

90  =  70  + angle ACD      subtract 70 from both sides

 

20°  = angle ACD

 

 

cool cool cool

 Dec 6, 2019

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