Question

In the figure EF||GC and AB|| FC and ANB is a straight line. Find x.

Answer 1

Step-by-step explanation:

we can understand that that the OCFN is a parallelogram

<ANE = <FNO = 80⁰ ( opposite sides are equal )

< FNO = < FCO ( opposite sides of a parrellelogram)

hence <x = < NOC (opposite sides are equal)

so that

<x + < FCO + < NOC + < FNO = 360⁰

<X + 80⁰ + < X + 80 = 360⁰

2 <X =360 -80 - 80⁰

2<X = 200

$\frac{200}{2} = 100$

x=100