Question

plz solve this ques impt step wise

Answer 1

given :-

AB || CD || EF

therefore x + 50° = 180° (sum of co int. angles is 180° when lines are ||)
→ x = 180° - 50°
→ x = 30°

construction :-

draw a line || to AB from C and extend it and name P.

→ angle BCP + angle ABC = 180° (sum of co int. angles is 180° when lines are ||)
→ angle BCP = 180° - 85°
→ angle BCP = 95°

→ 95° + y + 50° = 180° (forming a straight line)
→ 145° + y = 180°
→ y = 180° - 145
→ y = 35°

Answer 2

angle ABC=angle BCD (alternate interior angles
85=y+50
y=85-50
y=35
angle FEC+angle ECD=180(co-interior angles)
x+50=180
x=180-50
x=135
therefore x=130,y=35