Construction of Standard Angles

IMPORTANT

Construction of Standard Angles: Overview

This topic discusses the construction of standard angles. It mentions several steps involved in the construction of an angle. For the justification of construction, the proof is also done. Moreover, exercise is given here for the practice.

Important Questions on Construction of Standard Angles

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Construct the angle 120° and 30°, in the same ray using a ruler and compass.

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Is it possible to construct angle 120 degrees without using a protractor? If possible construct the angle.

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Construct the angle 120° in the same ray without using a protractor.

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Construct angle 120° and 60° using ruler and compass.

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Construct angle 120 degrees using ruler and compass.

EASY
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The bisectors of angles P and Q of a scalene PQR meet at O. What is the relation between angle PRO and angle QRO?

EASY
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The bisectors of angles A and B of a scalene triangle ABC meet at O. What is the relation between angle ACO and angle BCO?

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An angle of 22.5° can be constructed using a ruler and a compass (Without using a protractor).

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The steps to construct an angle of 60° at the initial point of a ray is given below.

  1. Taking A as centre and some radius, draw an arc of a circle, which intersects AB, say at a point D.
  2. Taking D as centre and with the same radius as before, draw an arc intersecting the previously drawn arc, say at a point E.
  3. Draw the ray AC passing through E.

Which of the following statement is true?

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We can draw an angle of 100° with the help of 

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Construct the below angle:

JKL=150°

HARD
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Draw the following angle in your notebook

150°

EASY
IMPORTANT

Which of the following angles cannot be constructed using a ruler and compass?

MEDIUM
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With the help of a ruler and a compass, it is not possible to construct an angle of