You cannot, you must use a protractor.
It is possible to construct a 20 degree angle using only Ruler and Compass. I happened to stumble across a method that is highly accurate. It is posted on my blog. Check the related link
A 10 degree angle cannot be constructed using only a compass and straight edge.
by 60 degree and 90 degree
With a straight edge and a protractor
Construct a circle and divide the circumference into 36 equal arcs Each arc will represent 10 degrees and 11 of them subtended to the circle's centre will create an obtuse angle of 110 degrees
It is possible to construct a 20 degree angle using only Ruler and Compass. I happened to stumble across a method that is highly accurate. It is posted on my blog. Check the related link
A 10 degree angle cannot be constructed using only a compass and straight edge.
To construct a 125-degree angle using a compass and ruler, start by drawing a straight line and marking a point on it (point A). Using the compass, draw an arc centered at point A that intersects the line. Without changing the compass width, place the compass point on one intersection and draw another arc above the line. Repeat this from the other intersection, creating two arcs that intersect. Finally, use a ruler to draw a line from point A through the intersection of the arcs, forming a 125-degree angle with the original line.
Well, honey, you start by drawing a line with your ruler. Then, you put the point of your compass on one end of the line and draw an arc. Next, you put the point of your compass on where the arc intersects the line and draw another arc. Where those arcs meet is your 32-degree angle. Voila!
by 60 degree and 90 degree
Construct 2 perpendicular lines which will meet at 90 degrees then by bisecting this angle wll give a 45 degree angle
With a straight edge and a protractor
To construct a 130-degree angle in a parallelogram using a ruler and compass, start by drawing a baseline segment ( AB ). Next, use a compass to create an arc from point ( A ) that intersects the baseline at point ( C ), ensuring that the angle ( CAB ) measures 130 degrees. Then, draw a line from point ( A ) through point ( C ). Finally, replicate this angle at point ( B ) to complete the parallelogram, ensuring that opposite angles are equal.
To construct a 37.5-degree angle using a ruler and compass, start by drawing a straight line and marking a point A on it. Then, construct a 60-degree angle at point A by drawing an arc from A, marking points B and C where the arc intersects the line, and connecting A to B. Next, bisect the 60-degree angle by placing the compass point on B, drawing an arc that intersects the angle, and marking those intersection points. Finally, draw a line from A through the intersection of the arcs to create a 30-degree angle, then bisect the 30-degree angle to obtain the desired 37.5-degree angle.
use trisection method
first draw a ray .
To construct a 54-degree angle with a compass, start by drawing a straight line using a ruler. Place the compass on one endpoint of the line and draw an arc that intersects the line. Without changing the compass width, place the compass on the intersection point and draw another arc. Where the two arcs intersect is a point that, when connected to the endpoint of the line, forms a 54-degree angle.