Question

find the value of x and y​

Answer 1

Answer:

⏩Here's your answer

▶As shown in the figure...

⏩AB || DF

▶angle ABC = angle EFG(corresponding angles ) (given)

▶40°=y

⏩Let's take triangle DEC

We have

➡Angle DCE =85° (vertically opposite angles)

➡angle CDE =40° (Alternate interior angles...)

▶By angle sum

➡85+40 + angle DEC =180

➡Angle DEC =180-125

➡Angle DEC = 55°

⏩angle DEC = angle GEF (vertically opposite angles)

⏩55°=angle GEF

➡By Exterior angle Theorem...

⏩We know that exterior angle is equal to the sum of its two interior opposite angle...

➡55+40 =x

➡95°=x

⏩Therefore x is equal to 95 while y is equal to 40....

Hope it helps ❤✌

Answer 2

From this above figure

angleB=angleF (corresponding angles)

So, y=40

angleG=x + angleC

angleG=x+85

WKT.,,

x+85=180(linear)

x =180 - 85

x=95

I hope it will help you!!