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In a magical triangle, angle A is 90°, angle B is 38°

A bisector to angle C hits the distance AB at point D

Calculate angle ACD

Now obviously, the bisector of C is 26° but why would angle ACD = 26°? This makes no sense to me. If you can explain that'd be great. I think there some kind of math rule I haven't understood yet. Like for e.g. What does angle ACD actually mean. Is it all the angles combined or w*f. Anyways, let me know.

 Mar 30, 2015

Best Answer 

 #2
avatar+134 
+5

Thanks. Makes perfect sense. Didn't think of it this way.

 Mar 30, 2015
 #1
avatar+129852 
+5

Notice that  [A = 90] + [ B = 38] = 128 degrees.

Since  the three interior angles of a triangle measure 180.....angle C must measure the other 52 remaining degrees.  But an angle bisector would cut this in half.....so 1/2 of 52 = 26 degrees.... 

Note the triangle below - not to scale !!!.....  ACD is the angle formed when ACB is bisected...

 

"ACD" refers to the angle formed by the points ....well....A,C and D in that order....So ACB would be 52 degrees, ACD = 26 and DCB = 26, since angle C is bisected.....  

Does that make sense ???

 

  

 Mar 30, 2015
 #2
avatar+134 
+5
Best Answer

Thanks. Makes perfect sense. Didn't think of it this way.

Vraces Mar 30, 2015

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