Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
26th May, 2024

Let the square side be a.


b = 45-20

b = 25°


c² = 2a²

c = √(2)a


Calculating a.


a² = 1²+(√(2)a)²-2*1*√(2)acos25

a² = 1+2a²-2.5634255282a

a²-2.5634255282a+1 = 0

It implies;

a = 2.08345 units.

Again, a is the side length of the square.


(1/sind) = (2.08345/sin25)

d = 11.703400178°


Therefore, the required angle theta is;


d+45

= 11.703400178+45

= 56.703400178°

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