As shown in the figure, in rectangular ABCD, AF ⊥ BD, perpendicular foot is f, ∠ DAF = 3 ∠ BAF, calculate the degree of ∠ fac

As shown in the figure, in rectangular ABCD, AF ⊥ BD, perpendicular foot is f, ∠ DAF = 3 ∠ BAF, calculate the degree of ∠ fac

∵∠DAB=90° ∠DAF=3∠BAF ∴∠DAF=67.5° ∠BAF=22.5°
∵AF⊥BD ∴∠ABD=∠BAC=67.5° ∴∠FAC=∠BAC-∠BAF=67.5°-22.5°°=45°