For making an angle of 105- you need to construct a 60- angle too-

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 ma ...

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Standard IX

Mathematics

Proof for Validity of Construction of an Angle of 60 Degrees

For making an...

Question

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

True

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False

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Solution

The correct option is A
True

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 $^{\circ}$ and 90 $^{\circ}$ angles, one needs to make a 60 $^{\circ}$ angle first. In the image given, $∠$ DAB will be 60 $^{\circ}$ .

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For making an angle of 105∘, you need to construct a 60∘ angle too.

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