Construct the angles of the following measurements: from Mathem

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 Multiple Choice QuestionsLong Answer Type

1. Construct an angle of 90° at the initial point of a given ray and justify the construction.
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2. Construct an angle of 45° at the initial point of a given ray and justify the construction.
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3. Construct the angles of the following measurements:


30 degree


(i) 30°

Given: A ray OA.
Required: To construct an angle of 30° at O.
Steps of Construction:
1. Taking O as centre and some radius, draw an arc of a circle, which intersects OA, say at a point B.


(i) 30°
Given: A ray OA.Required: To construct an angle of 30° at O

2. Taking B as centre and with the same radius as before, draw an arc intersecting the previously drawn arc, say at a point C.
3. Draw the ray OE passing through C. Then ∠EOA = 60°.
4. Taking B and C as centres and with the radius more than 1 half BC, draw arcs to intersect each other, say at D.
5. Draw the ray OD. This ray OD is the bisector of the angle EOA, i.e.,

          angle EOD equals angle AOD equals 1 half angle EOA
space space space space space space space space space space equals space 1 half left parenthesis 60 degree right parenthesis equals 30 degree

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4. Construct the angles of the following measurements:

22 1 half degree
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5. Construct the angles of the following measurements:

15°
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6.

Construct the following angles and verify by measuring them by a protractor:

75°

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7.

Construct the following angles and verify by measuring them by a protractor:

105°

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8.

Construct the following angles and verify by measuring them by a protractor:

135°

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 Multiple Choice QuestionsShort Answer Type

9.

Construct an equilateral triangle, given its side and justify the construction.

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10. Construct an equilateral triangle with one side 6 cm. 
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