Isosceles right angles
Let F be the mid point of the side BC of the triangle ABC.Isoceles right angled triangles ABD & ACE are constructed externally on the sides AB & AC with right angles at D and E respectively. X=angle DFE .Y= .Find X+Y.
The answer is 91.
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1 solution
Take F as O,B as +1,C as -1,A as z.Now use rotation of complex no.(D=z1 & E =z2) z 1 − z z 1 + 1 =i & z 2 − 1 z 2 − z =i (i^2=-1)
You will get z1=iz2 and so hence, X= angle DFE=90 & Y= F E F D =1, X+Y=91 (THE ANS).