Question

construct an angle of 67 1/2.

Answer 1

The following steps are required to construct angle 67.5

1. Draw a line segment AB

2. Stretch the compass until it is more than half of the length AB.

Put the sharp end of compass at A and mark an arc above and another arc below the line segment AB

3. Without changing the width of compass, do the same process as in step 2 from point B

4. Join the two points where the arcs intersect with a straight line. So, this line is the perpendicular bisector of AB and let P is the mid point.

5. Now, bisect the angle 90 to form a 45 degree angle.

6. We have now, two 45 degree angles. Again bisect any one of them, the we get two 22.5 degree angle.

7. Add 45 degree with 22.5 degree, we get a 67.5 degree angle

Answer 2

Firstly draw a line.
Then make an angle 90.
Make an angle bisector of 45.
Then make angle bisector between angle 45 and 90.
Your angle is made that is = 67.5