Question

R.S.Aggrawal Class9 Chapter-7 Lines and Angles, Exercise 7B

Prove that the bisectors of two adjacent supplementary angles include a right angle.
Please aswer it fast.​

Answer 1

Answer:

Step-by-step explanation:

In the figure ∠AOC and ∠BOC are adjacent angles . OP and OQ are the bisectors of these angles

Now x+x+y+y=180 ( sum of adjacent angles=180)

2x+2y=180

x+y=180/2=90

Thus ∠POQ=90°

Thus the angle bisectors are at right angle