Q. 31

# Side BC of ΔABC has been produced to D on left hand side and to E on right hand side such that ∠ABD = 125° and ∠ACE = 130°. Then ∠A = ?A. 65°B. 75°C. 50°D. 55°

ABD + ABC = 180 (Linear pair of angles)

ABC = 180o – 125o=55o

ACE + ACB = 180 (Linear pair of angles)

ACB = 180o – 130o=50o

As we know that

ACB + ABC + BAC = 180o

BAC = 180 – 55 – 50

=75o

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
Lines and Angles45 mins
NCERT | Angle Sum Property44 mins
Quiz | Angle Sum Property of Triangle40 mins
Quiz | Imp. Qs. on Lines and Angles30 mins
NCERT | Intersecting and Non Intersecting lines)41 mins
NCERT | Discussion on Lines And Angles45 mins
Solving Important Proofs of Lines and Angles44 mins
NCERT | Lines and Angles Part - 142 mins
Do You Know About Lines and Angles52 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