Q2 of 24 Page 18

Draw an obtuse angle. Bisect it. Measure each of the angles so obtained.

Here we have to construct an angle and bisect it and measure each angle


We will follow a certain algorithm to construct



Steps of construction


STEP1: Draw an obtuse angle of any measure. For example take 100 degrees, and label it as BAC.


STEP2: With centre as A, and radius of any measure, draw an arc intersecting the ray AB and AC, at L and M respectively.


STEP3: With centre M and radius greater than half of LM, draw an arc inside the cone.


STEP4: With centre L and taking the same radius as in STEP 3, draw another arc intersecting the previous one at N.


STEP5: Draw the ray AN. This is the angle bisector of BAC.


After measurement, we can find out that,


More from this chapter

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7

Draw a line segment AB and by ruler and compasses, obtain a line segment of length (AB).

 1

Draw an angle and label it as ∠BAC. Construct another angle, equal to ∠BAC.

 3

Using your protractor, draw an angle of measure 108°. With this angle as given, draw an angle of 54°.

 4

Using protractor, draw a right angle. Bisect it to get an angle of measure 45°.