If a circle is divided into 4 sectors- three of whose angles are 75- 95- and 65- degrees- What is the angle of fourth sector-

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Question

If a circle is divided into 4 sectors, three of whose angles are $75^{\circ}$ , $95^{\circ}$ , and $65^{\circ}$ degrees. What is the angle of fourth sector?

125 Degrees

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115 Degrees

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135 Degrees

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105 Degrees

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Solution

The correct option is A
125 Degrees

The sum of angles subtended by all the sectors of a circle at the centre is $360^{\circ}$ .
The angle of the fourth sector is
$= 360^{\circ} - 75^{\circ} - 95^{\circ} - 65^{\circ}$
$= 125^{\circ}$

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If a circle is divided into 4 sectors, three of whose angles are 75∘ , 95∘ , and 65∘ degrees. What is the angle of fourth sector?

The correct option is A 125 Degrees The sum of angles subtended by all the sectors of a circle at the centre is 360∘. The angle of the fourth sector is =360∘−75∘−95∘−65∘ =125∘

If a circle is divided into 4 sectors, three of whose angles are $75^{\circ}$ , $95^{\circ}$ , and $65^{\circ}$ degrees. What is the angle of fourth sector?

The correct option is A
125 Degrees

The sum of angles subtended by all the sectors of a circle at the centre is $360^{\circ}$ .
The angle of the fourth sector is
$= 360^{\circ} - 75^{\circ} - 95^{\circ} - 65^{\circ}$
$= 125^{\circ}$