Answer these question fast.

Answer these question fast. 14. In parallelogram FIST, find LSFT, LOST and LSTO. o 350 25a 1

Since, FIST is a paralleogram, then FI ∥ TS and FT ∥ IS . Since, FI ∥ TS and IT is a transversal, then ∠ FIO = ∠ STO (Alternate interior angles) \Rightarrow 35 ° = ∠ STO \Rightarrow ∠ STO = 35 ° Since, FT ∥ IS and TI is a transversal, then ∠ FTO = ∠ OIS (Alternate interior angles) \Rightarrow ∠ FTO = 25 ° In ∆ FOT, ∠ FOT + ∠ FTO + ∠ OFT = 180 ° [Angle sum property] \Rightarrow 110 ° + 25 ° + ∠ OFT = 180 ° \Rightarrow 135 ° + ∠ OFT = 180 ° \Rightarrow ∠ OFT = 180 ° - 135 ° \Rightarrow ∠ OFT = 45 ° So, ∠ SFT = 45 ° Now, ∠ TOS + ∠ FOT = 180 ° [Linear pair] \Rightarrow ∠ TOS + 110 ° = 180 ° \Rightarrow ∠ TOS = 70 ° In ∆ TOS, ∠ TOS + ∠ OST + ∠ STO = 180 ° [Angle sum property] \Rightarrow 70 ° + ∠ OST + 35 ° = 180 ° \Rightarrow 105 ° + ∠ OST = 180 ° \Rightarrow ∠ OST = 75 °