Question

Q3) On a line AB, a ray OC lies at point o, if the angles made by ray are in the ratio 7:8. Find
the measurements of linear angles made by the ray.​

Answer 1

Answer:

In figure, we have

∠AOC+∠BOC=180

o

(Linear pair of angles) ......(1)

Now, ray OL bisects ∠AOC, therefore,

∠LOC=

2

1

∠AOC ......(2)

Similarly, ∠MOC=

2

1

∠BOC .....(3)

Adding (2) and (3), we have

⇒∠LOC+∠MOC=

2

1

∠AOC+

2

1

∠BOC

⇒∠LOM=

2

1

{∠AOC+∠BOC}

⇒∠LOM=

2

1

×180

o

=90

o

[From equation 1]

Therefore, ∠LOM=90

o