Question

25. In the given figure, AB || DE and BD |FG such that angle ABC = 50° and
angle FGH = 120°. Find the values of x and y.​

Answer 1

Answer:

Here it is ......Solved

Answer 2

I re drew for understanding

now

in ∆FEG

angle G= 180-120 (angles on straight angle are 180°)

that is 60°

means angle G= y = 60°

y=60°

now we should find angle x

so A to H is a line segment so

angles on same segment are equal hence angle B = angle F

angle F is equal to 50°

so now sum of angles of triangles are equal to 180°

50°+60+E or x = 180

E or x= 180°-(60°+50°)

E or x= 70°

x=60°,y=70°.