For constructing an angle of measure 105- using a compass- you need to construct a 60- angle too-

The correct option is A A 105^∘ angle can be constructed by drawing a bisector between 120^∘ angle arm and 90^∘ arm as shown in the figure below. But it can b ...

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Byju's Answer

Standard VI

Mathematics

Construction of Angles

For construct...

Question

For constructing an angle of measure 105 $^{\circ}$ using a compass, you need to construct a 60 $^{\circ}$ angle too.

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Solution

The correct option is A

A 105 $^{\circ}$ angle can be constructed by drawing a bisector between 120 $^{\circ}$ angle arm and 90 $^{\circ}$ arm as shown in the figure below. But it can be seen clearly that for making 120 $^{\circ}$ angle, one needs to make a 60 $^{\circ}$ angle first. In the image given, $∠$ DAB will be 60 $^{\circ}$ .

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Similar questions

For constructing an angle of 105 $^{\circ}$ , you need to construct a 60 $^{\circ}$ angle too.

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For constructing an angle of measure 105∘ using a compass, you need to construct a 60∘ angle too.

The correct option is A A 105∘ angle can be constructed by drawing a bisector between 120∘ angle arm and 90∘ arm as shown in the figure below. But it can be seen clearly that for making 120∘ angle, one needs to make a 60∘ angle first. In the image given, ∠DAB will be 60∘ .

For constructing an angle of measure 105 $^{\circ}$ using a compass, you need to construct a 60 $^{\circ}$ angle too.