Construction of 30 Degree Angle


 
 
Concept Explanation
 

Construction of 30 Degree Angle

Construction of 30 Degree Angle :

In order to contruct an angle of large 30^{circ} with the help of ruler and compasses, we follow the following steps:

Steps of Construction

STEP I  Draw large angle AOB=60^{circ} by using the steps mentioned above.

STEP II With centre O and any convenient radius daw an arc cutting OA and OB at P and R respectively.

STEP III With centre P and radius more than half of PQ, draw an arc in the interior of large angle AOB.
STEP IV  WIth centre R and the same radius, as in step III, draw another arc intersecting the arc in step III at S.
STEP V   Join OS and product it to any poiint C.
STEP VI  The angle large angle AOC is the angle of measure large 30^{circ}.

 

Sample Questions
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Question : 1

Howe many arcs are drawn while constructing angle of 30 degree?

Right Option : D
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Explanation
Question : 2

To construct an angle of 300 , we construct the angle bisector of _____________

Right Option : B
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Explanation
Question : 3

Arrange the steps in correct order to make the construction in the diagram:-

1. With centre P and radius more than half of PQ, draw an arc in the interior of large angle AOB.

2.Join OS and product it to any point C.

3. With centre R and the same radius, draw another arc intersecting the arc in step III at S.

4.Draw large angle AOB=60^{circ} by using the steps mentioned above.

5.With centre O and any convenient radius draw an arc cutting OA and OB at P and R respectively.

 

Right Option : D
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Explanation
 
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