Answer :
In the ΔABC, AN is the angle bisector of ∠BAC.
... ∠BAN = ∠NAC ........ (i)
Also ∠A + ∠B + ∠C = 180°
⇒ ∠A + 70° + 35° = 180°
⇒ ∠BAN + ∠NAC + 105° = 180°
⇒ 2 ∠BAN = 180° - 105° = 75°
... Δ BAM = 37.5°
In Δ ABM, we have ∠B + Δ BAM +Δ AMB = 180°
... 70° +∠BAM + 90° = 180°
... ∠BAM = 20° ....... (ii)
Now ∠MAN = ∠BAN - ∠BAM = 37.5° - 20° = 17.5°
... ∠BAN = ∠NAC ........ (i)
Also ∠A + ∠B + ∠C = 180°
⇒ ∠A + 70° + 35° = 180°
⇒ ∠BAN + ∠NAC + 105° = 180°
⇒ 2 ∠BAN = 180° - 105° = 75°
... Δ BAM = 37.5°
In Δ ABM, we have ∠B + Δ BAM +Δ AMB = 180°
... 70° +∠BAM + 90° = 180°
... ∠BAM = 20° ....... (ii)
Now ∠MAN = ∠BAN - ∠BAM = 37.5° - 20° = 17.5°
Rate this question :
How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Introduction to Lines and Angles60 mins
Bonus Questions - 156 mins
Revision on Angle sum Property of Triangles44 mins
Bonus Questions - 257 mins
Parallel Lines and Transversal Lines22 mins
Pair of Angles29 mins
Elections- Mechanism and Types48 mins
Kinetic and Potential Energy39 mins
Constitution - Formation and Objective63 mins
Construction-244 mins
Introduction to Lines and Angles60 minsBonus Questions - 156 minsRevision on Angle sum Property of Triangles44 minsBonus Questions - 257 minsParallel Lines and Transversal Lines22 minsPair of Angles29 minsElections- Mechanism and Types48 minsKinetic and Potential Energy39 minsConstitution - Formation and Objective63 minsConstruction-244 minsTry our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
