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In the given figure, $△ O D C ~ △ O B A, ∠ B O C = 115 °$ and $∠ C D O = 70 °$ . The value of $∠ O B A$ is,

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65 °

75 °

40 °

70 °

answer is D.

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Detailed Solution

Given that,

Δ O D C ~ Δ O B A, ∠ B O C = 115 °

and

∠ C D O = 70 °

From the figure,

Δ ODC ~ Δ OBA ∴ ∠ D = ∠ B = 70 ° ∠ C = ∠ A ⇒ ∠ C O D = ∠ A O B

[The corresponding angles]

Δ ODC ~ Δ OBA ∠ O B A = ∠ C D O = 70 °

Thus, the value of

∠ O B A

will be

70

.
Therefore the correct option will be 4.

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