sarah110128
prove that a+ b= y for the angles given in the figure.



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sarah110128
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dw:1358143521967:dw

sarah110128
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side ab, bc, cd, de are equal

matricked
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is the triangle a rtangled one at D

sarah110128
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Yes

Compassionate
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Gut abreit!

matricked
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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)/(11/6) =(5/6)/(5/6)=1 thus tan(a+b)=1 but tany=1 hence tan(a+b)=tany thus a+b=y

matricked
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hope it helps u

personperson99
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could have just exterior angles

sarah110128
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Thank Youu! It was helpful :)

matricked
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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

matricked
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welcome dear