Question

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

Answer 1

side ab, bc, cd, de are equal

Answer 2

is the triangle a rt-angled one at D

Answer 3

Yes

Answer 4

Gut abreit!

Answer 5

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

Answer 6

hope it helps u

Answer 7

could have just exterior angles

Answer 8

Thank Youu! It was helpful :)

Answer 9

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

Answer 10

welcome dear