Question

how to construct an angle of 37.5 degrees with ruler and compass. thanks

Answer 1

Consider the construction of angle of 60° & on the same line,construct 90°.Bisect the angle between 60°-90° to get 75° then bisect 75° to obtain 37.5°

Answer 2

Steps to construct an angle of 37.5 degrees with ruler and compass are as follows:

• Make a line segment first.
• Make a semicircle out of it.
• By placing the compass needle on the place where the semicircle meets the line segment and drawing an arc with the same radius as the semicircle, you can get a 60° angle.
• Draw a dotted line from the center to the place where your arc intersects the semicircle. This is the 60-degree angle.
• By bisecting the entire 180°angle, you can make a 90° angle.
• Between the 60° and 90° angles, there will now be a 30° angle.
• If you divide the 30° angle in half, you'll get a 15° angle.
• A 75° angle is formed by joining the 60° and 15° angles.
• 75° is twice the  37.5-degree.
• When you divide the 75° angle in half, you get 37.5-degree.