Question

Can someone plzzz helpp mesee

Answer 1

`m\angle EFG = 52\degree`

Explanation:

By inscribed angle theorem:

`m\angle EFG =(1)/(2) m\angle EDG`

`(x+51)\degree =(1)/(2)(10x +94)\degree`

`(x+51)\degree =(1)/(2)* 2(5x +47)\degree`

`(x+51)\degree =(5x +47)\degree`

`x+51 =5x +47`

`x+51 - 47=5x - x`

`4=4x`

`x=(4)/(4)`

`x=1`

`\because m\angle EFG = (x+51)\degree`

`\therefore m\angle EFG = (1+51)\degree`

(plug x = 1)

`\therefore m\angle EFG = 52\degree`