Math, asked by devika7777, 6 months ago

In the given figure, if ∠ = 40 , then find the measure of ∠

Answers

Answered by Anonymous
3

Step-by-step explanation:

In ΔOAB, we have

OA=OB .....(radii of the same circle).

∴ΔOAB is isosceles.

∴∠OAB=∠OBA⇒∠OAB+∠OBA=2∠OAB

So, ∠AOB+∠OAB+∠OBA=∠AOB+2∠OAB=180

o

....(angle sum property of triangles).

∴∠OAB=

2

1

(180

o

−∠AOB) ..........(i)

Now ∠AOB=2∠ACB=2×40

o

=80

o

....(The angle subtended by a chord of a circle at the centre is double of that at the cicumference)

From (i), we have

∠OAB=

2

1

(180

o

−80

o

)=50

o

Answered by harshsingh1537
0

929292929299292929292o2o2o2o2o2o2o2o2

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