Question

can you construct an angle of 22.5 degree from the angle of 90 degree ? write the steps of construction of this angle​

Answer 1

Answer:

Draw  a straight line and with compass, cut three angles. Each will be 60 degree Now bisect the line it will be 90 degree.

Now bisect the 90 degree, it will give you 45 degree. Again bisect this 45 degree, you will get 22.5 degree

Step-by-step explanation:

Answer 2

Following are the steps to construct an angle of 22.5° from the angle of 90°.

1. In the above construction of the angle, we need some prerequisites that include a method of Angle-Bisector construction.
2. The idea to form the 22.5° angle is to construct two angle bisectors simultaneously on the angle 90°.
3. Here, we will need a protractor, a sharpened pencil, a compass, and a 90° constructed angle.
4. Now, the first step in the process is to draw an arc with the help of a compass on the two arcs with any arbitrary length from the vertex.
5. Further, we will name the intersection points of the arcs of the angle and the arc we drew as 'A' and 'B'.
6. Again, from these intersection points i.e., from points 'A' and 'B' we will take an arbitrary span in the compass and will draw two arcs which will bisect in the region between the two arcs of 90° angle.
7. Here, we will be obtained one more intersection point, which we will name, 'C' and the line segment joining the vertex and point 'C' is our angle bisector.
8. Hence, our angle 90° angle is now bisected into two 45° angles each.
9. Now, we will follow the complete procedure one more time to obtain an angle of measurement of 22.5°.

This is how a 22.5° angle is constructed from an angle of 90°.

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