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Question
Use the proper geometrical instruments to construct the following angle. Use the compass and the ruler to bisect them.
80°
Solution
Steps of Constructions:
- Draw an angle ∠ABC of measure 80°.
- Now place the point of a compass on point B and with any convenient distance draw an arc to cut rays BA and BC. Name the points of intersection as P and Q respectively.
- Now, place the point of the compass at P and taking a convenient distance, draw an arc inside the angle. Using the same distance, draw another arc inside the angle from the point Q, to cut the previous arc.
- Name the point of intersection as point O. Now draw ray BO. Ray BO is the bisector of ∠ABC.
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