Find the Geometric Mean of the Angles

Geometry Level pending

Quadrilateral A B C D ABCD is a square. ∠ P A B = ∠ P B A = 1 5 ∘ \angle PAB = \angle PBA = 15^\circ .

Find the geometric mean of the angles of Δ P C D \Delta PCD taken in degrees .

Details & Assumptions : Geometric Mean of numbers a 1 , a 2 , … , a n a_1, a_2, \dots, a_n is a 1 ⋅ a 2 ⋅ a 3 … a n n \sqrt[n]{a_1 \cdot a_2 \cdot a_3 \dots a_n} .


The answer is 60.

Ameya Salankar by Ameya Salankar , 23, India

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