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sarah110128

  • 3 years ago

prove that a+ b= y for the angles given in the figure.

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  1. sarah110128
    • 3 years ago
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    |dw:1358143521967:dw|

  2. sarah110128
    • 3 years ago
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    side ab, bc, cd, de are equal

  3. matricked
    • 3 years ago
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    is the triangle a rt-angled one at D

  4. sarah110128
    • 3 years ago
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    Yes

  5. Compassionate
    • 3 years ago
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    Gut abreit!

  6. matricked
    • 3 years ago
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    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

  7. matricked
    • 3 years ago
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    hope it helps u

  8. personperson99
    • 3 years ago
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    could have just exterior angles

  9. sarah110128
    • 3 years ago
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    Thank Youu! It was helpful :)

  10. matricked
    • 3 years ago
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    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

  11. matricked
    • 3 years ago
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    welcome dear

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