# Given that each of the angles AOC and AOB is a right angle. Show that BOC is a line.

Given: ∠ BOA = 90° and ∠ COA = 90°
To prove: BOC  is a line.
Proof: BOA and COA are adjacent angles.
∠ BOA = 90°    (given)
∠ COA = 90°      (given)
⇒ ∠ BOA + ∠ COA = 90°+ 90° = 180°
⇒  BOA and COA form a linear and it have a common arm OA,
... BOC is a line.

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
NCERT | Intersecting and Non Intersecting lines)41 mins
Quiz | Angle Sum Property of Triangle40 mins
Quiz | Imp. Qs. on Lines and Angles30 mins
Solving Important Proofs of Lines and Angles44 mins
NCERT | Lines and Angles Part - 142 mins
Quiz on Lines and Angles26 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