Question

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

Answer 1

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.