1
Question
Construct an angle of 45∘ without using protractor by the method of angle bisection. Any of the other geometric instruments can be used.
[3 MARKS]
Construct an angle of 45∘ without using protractor by the method of angle bisection. Any of the other geometric instruments can be used.
[3 MARKS]
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Solution
Steps : 1 Mark
Construction : 2 Marks
Steps:
1. Draw line segment BC of any appropriate length.
2. Using set square draw line segment AB of any length which makes angle of 90∘ with BC.
3. Draw an arc of any radius with B as centre. Let the arc intersect AB and BC at E and D respectively.
4. With E and D as centres draw arcs of same radii. Let these 2 arcs meet at F
5. Join BF. Angle FBC is 45∘ It is the bisected angle.
Steps : 1 Mark
Construction : 2 Marks
Steps:
1. Draw line segment BC of any appropriate length.
2. Using set square draw line segment AB of any length which makes angle of 90∘ with BC.
3. Draw an arc of any radius with B as centre. Let the arc intersect AB and BC at E and D respectively.
4. With E and D as centres draw arcs of same radii. Let these 2 arcs meet at F
5. Join BF. Angle FBC is 45∘ It is the bisected angle.
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