Question

find the ratio of (x+y):(y-x)

Answer 1

Here is the solution :

Angle at F = 180°(Since it is a linear angle)

=> 30 + 20 + y = 180°
=> y = 130°,

According to the Question L(l) is parallel to m,

Now, AC acts as a Transversal line,

So,
From properties of Parallel and transversal line,

Angle (A) + Angle(C) = 180°
=> 100 + x = 180°

=> x = 80°,

Now,
Our question is to find the ratio of,
(y+x)/(y-x)

From the data We obtained,
y + x = 210°, and,
y - x = 50°,

Now ratio = 210/50 = 21/5 or 4.2,

Therefore : The answer is 21/5 or 4.2,

Hope you understand, Have a Great day !
Thanking you, Bunti 360 !

Answer 2

$hey \: \: \: \: \\ first \: see \: \: y \: \\ staight \: line \: angle \: = 180 \\ so \: y = 180 - (30 + 20) = 130 \\ y = 130 \\ \\ now \: for \: x \: \\ internal \: angle \: sum = 180 \\ so \: x = 180 - 100 = 80 \\ x = 80 \\ now \: answer \: for \: \\ x + y \div y - x = 130 + 80 \div 130 - 80 \\ = 210 \div 50 = 21 \div 5 = 4.2 \\ \\ \\ \\ \\ hope \: it \: helps$