Question

In the adjoining figure AB||CD.Find the value of x and y.Give reason.

Pls Answer​

Answer 1

Answer:

x=36

Step-by-step explanation:

given: <EGC= 2x

        :<GHB=3x

<EGC and <GHA are corresponding angles. Therefore, <EGC=<GHA.

<GHA+<GHB=180 (linear pair)

2x+3x=180

x=36

y=3x (alternate angles)

y=108

Answer 2

Answer:

we have,

AB||CD,EF is the transversal of AB,CD

y=3x(Alternate interior angle)

now we should take the unknown angle below y as z

z=2x(corresponding angle)

also,y+z=180°(co-interior)

3x+2x=180(since y=3x,z=2x)

5x=180

x=180/5

x=36

therefore y=3x

y=3×36

y=108