If m fge=5x+10 find the value of x so that line fc is perpendicular to line ae

Given =

m∠FGE = 5x+ 10

FC is perpendicular to AE

find out the value of x

to proof -

as  we have given∠ FGE = 5x + 10

& FC is perpendicular to AE.

now by using the diagram as shown in below.

∠FGE +∠ FGA = 180 °

(By linear pair property)

as∠ FGE = 5x+10

than also∠ FGA = 5x+ 10

now put these values in the above equation

we get

5x+ 10 + 5x +10 =180°

10x = 160

x = 16°

hence the value of FGE becomes

FGE = 5×16 + 10

     = 90 °

HENCE PROVED

b. astronomers

step-by-step explanation: