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Q.

An arc subtends an angle of 45oin its alternate segment. Then, which of the following is the angle made by its corresponding major arc?


Question Image

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a

270o

b

90o

c

45o

d

315o  

answer is D.

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Detailed Solution

Consider the given question,
Question ImageGiven,
Angle subtended by the minor arc = 45o.
Let the angle subtended by the major arc is xo.
As angle around the point O is 360∘.
Then,
xo+45o=360o ⇒xo=315∘ Hence, the angle the angle made by its corresponding major arc is 315∘.
Therefore, option 4 is correct.
 
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