Answer:
To construct an obtuse angle, follow these steps:
1.Draw a straight line (the base) using a ruler or a straightedge.
2.Choose a point on the line, which will be the vertex of the angle you want to construct. Label this point A.
3.Using a compass, draw an arc with point A as the center and any radius. This arc should intersect the line twice, creating two points of intersection. Label these points B and C.
4.With the same compass setting, draw an arc with point B as the center, intersecting the line. Label this point D.
5.Draw an arc with point C as the center, intersecting the line. Label this point E.
6.Draw a straight line connecting point D to point E. This line should cross the line at F, which will be the vertex of the duplicated obtuse angle.
7.Using a compass, measure the length of segment AB and transfer it to segment EF, marking point G where the length of AB is equal to the length of FG.
8.Draw a straight line connecting point F to point G, and you have duplicated the obtuse angle.
To verify that the angle is indeed obtuse, measure the angle using a protractor, and it should be greater than 90 degrees
Explanation: