A circle is divided into three sectors- Two of them have angles of 120- and 75-respectively- What will be the angle of the third sector-

Angle made at the centre of a circle = 360^∘ Angle of nbsp;Sector 1 nbsp;= 75^∘ Angle of nbsp;Sector 2 = 120^∘ nbsp; Therefore, Angle of Sector 3 = 360 ...

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Standard V

Mathematics

Constructing a Circle

A circle is d...

Question

A circle is divided into three sectors. Two of them have angles of $120^{\circ}$ and $75^{\circ}$ respectively. What will be the angle of the third sector?

$265^{\circ}$

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$160^{\circ}$

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$180^{\circ}$

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$165^{\circ}$

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Solution

The correct option is D
$165^{\circ}$

Angle made at the centre of a circle $= 360^{\circ}$
Angle of Sector 1 $= 75^{\circ}$
Angle of Sector 2 $= 120^{\circ}$

Therefore, Angle of Sector 3 $= 360 - (120 + 75) = 360 - 195 = 165^{\circ}$

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A circle is divided into three sectors. Two of them have angles of 120∘ and 75∘respectively. What will be the angle of the third sector?

The correct option is D 165∘ Angle made at the centre of a circle =360∘ Angle of Sector 1 =75∘ Angle of Sector 2 =120∘ Therefore, Angle of Sector 3 =360−(120+75)=360−195=165∘

A circle is divided into three sectors. Two of them have angles of $120^{\circ}$ and $75^{\circ}$ respectively. What will be the angle of the third sector?

The correct option is D
$165^{\circ}$

Angle made at the centre of a circle $= 360^{\circ}$
Angle of Sector 1 $= 75^{\circ}$
Angle of Sector 2 $= 120^{\circ}$

Therefore, Angle of Sector 3 $= 360 - (120 + 75) = 360 - 195 = 165^{\circ}$