In the figure, $A B C D$ is a parallelogram in which $∠ B A O = 35^{o}, ∠ D A O = 40^{o}$ and $∠ C O D = 105^{o}$ . Calculate $∠ A C B$

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Solution

We know that $A B ∥ C D$ and $A C$ is a transversal
from the figure we know that $∠ A C B$ and $∠ D A C$ are alternate opposite angles
so we get
$∠ A C B = ∠ D A C = 40^{o}$

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Similar questions

In the adjoining figure, ABCD is a parallelogram in which $∠ A = 72^{\circ}$ . Calculate $∠ B, ∠ C a n d ∠ D$ .

∠ D A O = 40^{\circ}

∠ B A O = 35^{\circ} a n d ∠ C O D = 65^{\circ}

∠ O D C

∠ D A O = 40^{\circ}

∠ B A O = 35^{\circ} a n d ∠ C O D = 65^{\circ}

∠ O D C

∠ A D C = 105^{o}

∠ C B E

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