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

To construct an angle of large 30^0, we construct the angle bisector of ___________________

Right Option : B
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Explanation
Question : 2

To draw an angle of 30^0 as shown in the figure below, which of the following step is incorrect.

1. With R as centre , draw an arc with radius more than half of PR.

2. Join points O and C. OC is the bisector of angle AOB

3. Draw an angle AOB = 60 degree.

4. With P as centre and same radius as in step 1 draw another arc that intersects the previous arc at point S.

Right Option : D
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Explanation
Question : 3

To construct an angle of 300 as shown in the diagram the first step is to :

Right Option : B
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Explanation
 
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