Question

Geometry questionnn!

Answer 1

88 units

Explanation:

`In\: \triangle OBR \:\&\: \triangle OWN`

BR || WN (Given)

Therefore,

`\angle OBR \cong \angle OWN` (Alternate angles)

`\angle BOR \cong \angle WON` (Vertical angles)

`\therefore \triangle OBR \sim \triangle OWN` (AA postulate)

`\therefore (OR)/(ON) =(BR)/(WN)` (csst)

`\therefore (OR)/(56) =(24)/(42)`

`\therefore (OR)/(56) =(4)/(7)`

`\therefore OR =(4* 56)/(7)`

`\therefore OR ={4* 8}`

`\therefore OR =32`

RN = OR + ON

RN = 32 + 56

RN = 88 units