Question

Construct 22½°.
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Answer 1

Answer:

Step 1: Draw a ray OY.

OY ray

Step 2: Now, take A as a centre and take any radius, then mark a point B on the arc

step 2 aa

Step 3: Take B as a centre with the same radius, mark a point C on the arc ABC.

step 4 a

Step 4: Now, taking B and C as centres simultaneously, then draw an arc from each centre intersecting each other at a point X. Then join X and O and a ray making an angle with OY is formed.

construction 6

Let the arc AC touches OX at E

Step 5: Now, with A and E as centres, mark 2 arcs which intersect each other at D and we obtain the bisector of the angle

.

construction 7

bisector

Answer 2

To construct 22½° , follow the given steps—

1. Draw a line AB
2. Draw an angle 90°
3. Then , draw 45°
4. After it, draw the angle 22½°