Question

can anyone please solve this step by step ...please ​

Answer 1

Step-by-step explanation:

Let A represent Angles

In the given figure, FIST is a IIgm in which,

A (FOT) = 110°, A (FIO) = 35°

A (SIO) = 25°,

To find A (SFT), A (OST) & A (STO)

Now, FIST is a IIgm, hence FT II IS, IT and FS are transversal

A (IOS) = A (FOT) = 110° ( Vertically

opposite angles )

Now, A (OSI) + A (IOS) + A (SIO) = 180°

( Angle sum property of a triangle )

A (OSI) = 180° - 110° + 25° = 180° - 135°

= 45°

Now, A (SFT) = A (OSI) = 45°

(Alternate interior angles)

Similarily, A (STO) = 35°

A (IOS) + A (TOS) = 180° ( Linear pair)

A (TOS) = 70°

Now, In ∆ OST, A (OST) + 70° + 25° = 180° ( ASP of ∆ )

Hence, A (OST) = 180° - 95° = 85°

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