Question

C Draw an ZABC of measure 70° using a protractor. Then, using ruler and compasses, construct an angle equal to ZABC.​

Answer 1

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Class 6

>>Maths

>>Practical Geometry

>>Construction of Angles and Angle Bisectors

>>Draw an angle of measure 70^∘ with prot

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Draw an angle of measure 70

∘

with protractor. Bisect this angle using compasses and rules.

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Solution

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Steps of construction

Step I - Draw a ray OA as shown in figure

Step II - With the help of a protractor construct an angle AOB measure 70

o

Step III - With a centre O and a convenient radius draw an arc cutting sides OA and OB at P and Q respectively.

Step IV - With centre P and radius more than half PQ , draw an arc.

Step V - With centre Q and the same radius, as in the previous step ,draw another arc intersecting the arc drawn in the previous step at R .

Step VI - Join OR and produce it to form ray OX .

The angle AOX and angle BOX so formed are equal