Question

In the given figure l is parallel to m find angle e,f,g,a,b,c,d
plz solve it

Answer 1

The angles formed by a line which cuts two or more parallel lines are corresponding equal angles.

∠a = 65° (Corresponding angle to 65° which is at line l)

∠b = 180° - 65° = 115° (∠a and ∠b are linear pairs)

∠c = 65° (Alternate angle to ∠a)

∠d = 115° (Alternate angle to ∠b)

∠e = 115° (65° at the line l and ∠e are linear pairs)

∠f = 65° (Alternate angle to 65° which is at line l)

∠g = 115° (Alternate angle to ∠e)

Thank you. Have a nice day.

#adithyasajeevan

Answer 2

f=65 (vertically opposite angles)
g and e = 65 + 65 =130
sum of 4 angles =360
360-130=230
now
we have to find 2 angles let it be 2x
2x=230
x=230/2
x=115
angle e and g =115°

angle c=115(corresponding angle)
angle a =115(vertically opposite angle)
115+115=230
let 2 angles be 2x
360-230
130
2x=130/2
x=65
so angle and d is 65°