Question

An arc subtends an angle of ${45}^o$ in its alternate segment then the angle made by its corresponding major arc is at the centre

• A. ${270}^o$
• B. ${90}^o$
• C. ${45}^o$
• D. ${315}^o$

Answer 1

Answer: (D)

${315}^o$

Here, major arc $AB$ is subtending ${45}^{\circ }$ in the alternate (minor) segment

To find : angle $x$

Soluton: As angle around a point is ${360}^{\circ }$

Around $O$,

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

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