In the given figure, $O$ is the centre of the circle and $∠ A O B = 70^{o}$ . Calculate the value of $∠ O A C$ .

Open in App

Solution

From the figure we know that the radius is
$O A = O C$

We know that the base angles of an isosceles triangle are equal
$∠ O A C = ∠ O C A$

It is given that $∠ O C A = 35^{o}$

So we get

$∠ O A C = 35^{o}$

Therefore, $∠ O A C = 35^{o}$

Suggest Corrections

Similar questions

In the given figure, O is the centre of the circle and $∠ AOB = 70^{\circ}$ .

Calculate the values of (i) $∠ OCA (i i) ∠ OAC .$

∠ O A C = 60^{\circ}

∠ O B C = 70^{\circ}

∠ A O B

O

∠ A O B = 140^{0}

∠ O A C = 50^{0}

∠ A C B

∠

^{o}

∠

Join BYJU'S Learning Program