Q. 46

In the given figure, AM BC and AN is the bisector of A. If ABC = 70° and ACB = 20°, then MAN = ?


A. 20°

B. 25°

C. 15°

D. 30°

Answer :

In triangle ABC,


B = 70o


C = 20o


So, A = 180o – 70o – 20o = 90o


According to question, AN is bisector of A


So, BAN = 45o


Now, in triangle BAM,


B = 70o


M = 90o


BAM = 180o – 70o – 90o = 20o


Now, MAN = BAN – BAM


= 45o – 20o


= 25o

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 AnglesQuiz | Lines and AnglesQuiz | Lines and Angles40 mins
Quiz | Lines and AnglesQuiz | Lines and AnglesQuiz | Lines and Angles43 mins
NCERT | Intersecting and Non Intersecting lines)NCERT | Intersecting and Non Intersecting lines)NCERT | Intersecting and Non Intersecting lines)41 mins
NCERT | Discussion on Lines And AnglesNCERT | Discussion on Lines And AnglesNCERT | Discussion on Lines And Angles45 mins
NCERT | Lines and Angles Part - 1NCERT | Lines and Angles Part - 1NCERT | Lines and Angles Part - 142 mins
Lines and AnglesLines and AnglesLines and Angles45 mins
Quiz | Lines and AnglesQuiz | Lines and AnglesQuiz | Lines and Angles45 mins
NCERT | Angle Sum PropertyNCERT | Angle Sum PropertyNCERT | Angle Sum Property44 mins
Smart Revision | All Types of AnglesSmart Revision | All Types of AnglesSmart Revision | All Types of Angles31 mins
Bonus Questions on Lines and AnglesBonus Questions on Lines and AnglesBonus Questions on Lines and Angles42 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
caricature
view all courses