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An arc subtends an angle of $45^{o}$ in its alternate segment. Then, which of the following is the angle made by its corresponding major arc?

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270^{o}

90^{o}

45^{o}

315^{o}

answer is D.

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Detailed Solution

Consider the given question,
Question Image

Given,
Angle subtended by the minor arc =

45^{o}

.
Let the angle subtended by the major arc is

x^{o}

.
As angle around the point O is

360^{\circ}

.
Then,

x^{o} + 45^{o} = 360^{o}

\Rightarrow x^{o} = 315^{\circ}

Hence, the angle the angle made by its corresponding major arc is

315^{\circ}

.
Therefore, option 4 is correct.

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