Question

In a figure, AB//CD. Find the values of x. ​

Answer 1

Answer:

The values of x will be 4x = 4 x 30 = 120

& 2 x 30 = 60

Answer 2

Given

• Two parallel lines AB, CD cut by a transversal HG
• ∠AEF=4x
• ∠DFG=2x

To Find

The values of X

Step-by-step explanation:

=>Let the point of intersection on the line AB be E,on the line CD be F

So, according to the figure,

∠BEF=2x (Due to corresponding angle property of ∠DFG)

=>And we know that on a straight line 180° forms

So, ∠AEF + ∠BEF=180°

4x+2x=180°

6x=180°

x=30° - (i)

So ∠AEF=> 4x= 4×30=>120°

And ∠BEF=> 2x= 2×30=>60°

Now, ∠CFG=4x (By corresponding angle property of ∠AEF)

So Answer:

The value of X -

4x= 4×30°=>120°

2x= 2×30°=>60°

∠CFG=4×30° => 120°

∠DFG=2×30°=>60°

Hence the value of X Will be 30°

watch on the figure connected...

=>Thank u for asking the question hope that it helps you