Question

Construct angles of following measures using ruler and compasses. $90^\circ $

Answer 1

Hint: Here, we have to construct $90^\circ $ angle using a ruler and protractor. The steps for constructing an angle using a protractor and ruler are explained below. By following these rules you will construct the required angle.

Complete step by step solution:
In this question, we have to construct an angle $90^\circ $ using ruler and compasses.
Steps to construct an angle using ruler and compass:
Step 1:
First of all, draw a copy of angle $\angle 90^\circ $.

Step 2:
Draw a line segment of any length and name the end points A and B.

Step 3:
Take the compass and place it at point P and draw an arc of any radius.

Step 4:
Take the compass with the same radius that you used to draw the previous arc and place the compass at point A and draw an arc. Let the intersecting point be D.

Step 5:
Take the compass and measure the length of the arc ST by placing the compass at point T. Now, place the compass at point D and mark the point of length of arc ST.

Step 6:
Draw the line segment passing prom that point and vertex A.

Hence, we have constructed an angle $\angle 90^\circ $ using ruler and compass.


Note: We can also construct this angle using protractor.
Step 1:
Draw a line segment of any length. Name them A and B.

Step 2:
Place the midpoint of the protractor at point A and mark a point at $90^\circ $. Now, join the line segment from that point to vertex A.