Question

In the given figure, if AOB is a line the find the measure of
angle BOC.

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Answer 1

Answer:

We know that

∠AOB+∠BOC+∠COD=180

o

.......... (i)

Let ∠AOB=x

But the given hypothesis is ∠BOC=2∠AOB=2x and ∠COD=3∠AOB=3x.

From (i), we get

∠AOB+2∠AOB+3∠AOB=180

o

Thus, we get 6x=180

o

.

It follows that ∠AOB=x=30

o

.

This gives ∠BOC=2×30

o

=60

o

and ∠COD=3×30

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=90

o

.