Creative problem with Android pattern

Geometry Level 2

In the above image we have an ∠ a \angle{}a .

Find out the value of the a ∘ a^{\circ} in (degree).


The answer is 45.

Tom Clancy by Tom Clancy , 16, United Arab Em…

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3 solutions

Mahdi Raza
Feb 23, 2020

Trigonometric approach

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Mohammad Farhat
Aug 19, 2018

We can see that the dots make a square. We also know that a angle of the square is 90 degrees. So we actually observe that since the displacement between the two corner point is 0. We are dividing it exactly in a half of that 90 degrees portion. Half of 90 degrees is 45 degrees.

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This is a bisection of a right angle, giving a a to be 45 degrees.

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