Construct an angle of 22.5∘ without using protractor. Any of the other geometric instruments can be used. [3 MARKS]
Construct an angle of 22.5∘ without using protractor. Any of the other geometric instruments can be used. [3 MARKS]
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∘
6. Draw an arc of any radius with B as centre. Let the arc intersect FB and BC at P and Q respectively.
7. With P and Q as centres draw arcs of same radii. Let these 2 arcs meet at G.
8. ∠ GBC is the bisected angle of ∠ FBC. Hence Angle GBC is 22.5∘
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∘
6. Draw an arc of any radius with B as centre. Let the arc intersect FB and BC at P and Q respectively.
7. With P and Q as centres draw arcs of same radii. Let these 2 arcs meet at G.
8. ∠ GBC is the bisected angle of ∠ FBC. Hence Angle GBC is 22.5∘
