# In Fig. 9.41, if AB || DE and BD || FG such that ∠FGH = 125° and ∠B = 55°, find a and y.

Given,

AB || DE and,

BD || FG

FGH + FGE = 180o (Linear pair)

125o + y = 180o

y = 55o

ABC = BDE (Alternate angles)

BDF = EFG = 55o (Alternate angles)

EFG + FEG = 125o (By exterior angle theorem)

55o + FEG = 125o

FEG = x = 70o

Thus, x = 70o and y = 55o.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Lines and Angles43 mins
Quiz | Lines and Angles40 mins
NCERT | Angle Sum Property44 mins
Quiz | Angle Sum Property of Triangle40 mins
Lines and Angles45 mins
Matter and Its Classification34 mins
NCERT | Intersecting and Non Intersecting lines)41 mins
NCERT | Discussion on Lines And Angles45 mins
Quiz | Imp. Qs. on Lines and Angles30 mins
Quiz on Lines and Angles26 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses