anonymous
  • anonymous
prove that a+ b= y for the angles given in the figure.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
|dw:1358143521967:dw|
anonymous
  • anonymous
side ab, bc, cd, de are equal
anonymous
  • anonymous
is the triangle a rt-angled one at D

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anonymous
  • anonymous
Yes
Compassionate
  • Compassionate
Gut abreit!
anonymous
  • anonymous
let DE= ab=bc= cd=x tany =1 tana=DE/DA =1/3and tanb=DE/DB=1/2 now tan(a+b) =(1/3 +1/2)/( 1- (1/3)(1/2))= (1/2+1/3)/(1-1/6) =(5/6)/(5/6)=1 thus tan(a+b)=1 but tany=1 hence tan(a+b)=tany thus a+b=y
anonymous
  • anonymous
hope it helps u
anonymous
  • anonymous
could have just exterior angles
anonymous
  • anonymous
Thank Youu! It was helpful :)
anonymous
  • anonymous
the other way to solve is to complete the rectangle with sides as AD and DE and draw the inner squares and then use elementary geometrical properties
anonymous
  • anonymous
welcome dear

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