Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
2nd August, 2023

Let the two congruent square side be 1 unit.


a = √(2) units

a is a diagonal of one of the congruent squares.


tanb = 1/(√(2)+1)

b = 22.5°


c = 90-b

c = 67.5°


d = ½(180-135)

d = ½(45)

d = 22.5°


e = 180-67.5

e = 112.5


f = 180-112.5-22.5

f = 45°


It implies, the required angle alpha is;

180-45

= 135°

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