Draw an angle of 110° with the help of a protractor and bisect it. Measure , each angle.

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asked Feb 2, 2018 in Class IX Maths by aman28 (-883 points)
Draw an angle of 110° with the help of a protractor and bisect it. Measure , each angle.

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answered Feb 2, 2018 by saurav24 Expert (1,416 points)

Draw ∠BXA = 110° with the help of a protractor. Now, we use the following steps for required construction 

1.Taking X as centre and any radius daw an arc to Intersect the rays XA and XB, say at E and D, respectively.
2.Taking D and E as centres and with the radius more than 1/2 DE, draw arcs to intersect
each other, say at F.
3.Draw the ray XF.
Thus, ray XF is the required bisector of the angle B X A. On measuring each angle, we get
∠BXC = ∠AXC = 55°.
[∴ ∠BXC = ∠AXC = 1/2 ∠BXA = 1/2 x 110° = 55° ].

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