Question

in fig 8.35 , AB||CD. if angle c =50° and angle m=115°, find all other angle ​

Answer 1

Answer:

angle c=angle a=angle e=angle g=50°

angle m=angle o=angle k=angle i=115°

angle m+angle n=180°

115°+ angle n=180°

angle n =angle p=angle l=angle j=65°

angle a+ angle b=180°

50°+angle b=180°

angle b=angle d=angle f=angle h=130°

Answer 2

Answer:

given - angle c = 50° , angle m =115°

to find - angle a , angle b , angle d , angle e , angle f , angle g , angle h , angle i , angle j, angle k , angle l , angle n , angle o , angle p .

line AB || line CD

line ( Y ) passing through line AB and line CD

angle a = angle c

( vertically opposite angles )

angle a = 50°

angle b + angle c = 180°

( angles in a linear pair )

180° = 50° + angle b

180° - 50 ° = angle b

angle b = 130 °

angle d = angle b

( vertically opposite angles )

angle d = 130 °

angle e = angle a

(corresponding angles )

angle e = 50°

angle f = angle b

( corresponding angles )

angle f = 130°

angle g = angle c

( corresponding angles)

angle g = 50°

angle h = angle d

(corresponding angles )

angle h = 130°

line AB || line CD

line ( Z) passing through line AB and line CD

angle m + angle n = 180°

(angles in a linear pair )

115° + angle n = 180°

180 °- 115° = 65 °

angle n = 65°

angle o = angle m

( vertically opposite angles)

angle o= 115°

angle p = angle n

( vertically opposite angles)

angle p = 65°

angle i = angle m

( corresponding angles)

angle i = 115°

angle j = angle n

( corresponding angles)

angle j = 65°

angle k = angle i

( vertically opposite angles)

angle k = 115°

angle l = angle j

( vertically opposite angles)

angle l = 65°

hope it helps you.....