Final answer:
To construct a 90 degree angle using a compass and ruler, follow these steps: draw a line, place the compass at one end of the line, draw an arc on the line, place the compass at the other end of the line, draw another arc intersecting the first arc, and draw a line from the starting point to the intersection of the arcs.
Step-by-step explanation:
To construct a 90 degree angle using a compass and ruler, follow these steps:
Draw a straight line using a ruler.
Place the compass at one end of the line and open it wide enough to reach the midpoint of the line.
Using the compass, draw an arc on the line.
Without changing the compass width, place the compass at the other end of the line and draw another arc intersecting the first arc.
Using a ruler, draw a line from the starting point to the intersection of the arcs. This line forms a 90 degree angle with the original line.