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Question
In square ABCD, ΔPAB is equilateral. Find the value of x in the figure.

Sum
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Solution
In square ABCD, ΔPAB is equilateral.

Each internal angle of an equilateral triangle is 60°
The diagonal line divides the square into two equal halves.
⇒ ∠A + x + ∠B = 180°
⇒ 45° + x + 60° = 180°
⇒ x = 180° – 105°
⇒ x = 75°
Hence, this is required.
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