#### Geometry Sum | ABCD is a square. Prove in each case ∆APD ≅ ∆BPC | Find Angle DPC Angle PCD and Angle PCD |

ABCD is a square and APB is an equilateral triangle. Prove in each case: 1) 𢁪PD ≅ 𢁫PC 2) Find the angles of 𢁭PC Solution : First PartGiven �P = Equilateral triangleR.T.P.1) 𢁪PD ≅ 𢁫PC 2) Find 𢈍PC, ∠PDC and ∠PCD, Proof: In 𢁪PD and 𢁫PC AP = BP | Same side of