Question

Draw a line segment AB . At any point C on it, draw a line segment CD ,making linear pair of angles DCA and DCB .Bisect these two angles. Call these bisecting rays CP and CQ . Measure angle PCQ . What do you notice . Why

Answer 1

Bisector of Linear pair angles makes a right angle with each other

Step-by-step explanation:

Step 1 : Draw a line segment AB of any length

Step 2 : Marke any Point C  on AB

Step 3 : Draw a line segment CD  Such that

it form two angle DCA  &  DCB

Step 4 : Draw angle bisector of DCA & DCB

Procedure to draw angle bisector

take some length & cut CA  & CD with same length at M & N points

now taking some Equal length Draw  arcs from  M & N such that arc intersect at P

join CP   CP is Bisecting DCA

Similarly Draw CQ bisecting DCB

Now on Measuring ∠PCQ  - we notice that this is a right angle

∠PCQ = 90°

Bisector of Linear pair angles makes a right angle with each other