by 60 degree and 90 degree
A 10 degree angle cannot be constructed using only a compass and straight edge.
With a straight edge and 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
An angle of 65° can not be trisected using a compass and straight edge.
In addition to a compass, you WILL need a straight edge.Draw a long straight line.Using the compass and straight edge, and standard procedures, draw a perpendicular bisector of the line.Then, using other standard geometrical construction procedures, bisect one of the right angles to produce a 45 degree angle.The remaining right angle and the 45 degree angle next to it will be 135 degrees - as required.
A 10 degree angle cannot be constructed using only a compass and straight edge.
With a straight edge and a protractor
with compass.........at 90+60degree angle,,,,,,,,, * * * * * and 90 + 60 = 105??? You need to draw a 90 degree ange and bisect it to give a 45 deg angle. Then add a 60 degree angle. 45 + 60 = 105.
Yes, it is possible to construct an angle measuring 7.5 degrees using a compass and straightedge. This can be done by first constructing a 15-degree angle, which is achievable through a combination of bisecting angles. By bisecting a 15-degree angle, you can obtain the desired 7.5-degree angle. This method relies on the principle that angle bisection is a fundamental constructible operation.
Construct 2 perpendicular lines which will meet at 90 degrees then by bisecting this angle wll give a 45 degree angle
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
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.
To construct a 25-degree bisection angle with a compass, start by drawing a straight line and marking a point ( A ) on it. Next, construct a 50-degree angle at point ( A ) by using a compass to draw an arc from ( A ) that intersects the line at point ( B ), then use the same arc to find point ( C ) such that ( \angle CAB = 50^\circ ). Finally, bisect ( \angle CAB ) by drawing an arc from points ( B ) and ( C ) that intersects at point ( D ), and draw a line from ( A ) through ( D ). This line creates the desired 25-degree angle with the original line.
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.
To construct a 175-degree angle using a compass, start by drawing a straight line and marking a point A on it. Place the compass point on A and draw a large arc across the line, marking the intersection point as B. Now, without changing the compass width, place the compass point on B and draw another arc above the line. Next, set the compass to a smaller width and draw an arc from A, creating an intersection point with the first arc above the line. Finally, connect point A to this intersection point to create the 175-degree angle.
Yes
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.