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Q.

State whether the statement is true or false.

If ABC and ADC are two right triangles with common hypotenuse AC, then ∠CAD =∠CBD.

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a

True

b

False

answer is A.

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Detailed Solution

Given that, ABC and ADC are two right triangles with common hypotenuse AC.
Question Image

Question Image

For the chord CD of the circle,

∠ C A D and ∠ C B D

lie in the same segment.
For a circle, we know that the angles subtended by a chord in the same segment have equal measure. Thus, we get

∠ C A D = ∠ C B D

.
Thus, the statement is true and the correct option is 1.

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State whether the statement is true or false.If ABC and ADC are two right triangles with common hypotenuse AC, then ∠CAD =∠CBD.