Question

Draw and construct angle 45 degree 60 degree and 90 degree​

Answer 1

Answer:

A 45-degree angle is an acute angle. It is half of the right angle or 90-degree angle. We can easily construct a 45-degree angle with or without a protractor.

Constructing a 45-degree angle using a protractor is an easy process. We can draw a 45-degree angle by using the following steps:

Step 1: Draw a line segment OB.

Step 2: Place the protractor at point O.

Step 3: In the outer circle of the protractor, look for 45 degrees reading, and with a pencil mark a dot and name it A.

Step 4: Join O and A now. Angle ∠AOB = 45°.

Constructing 45 Degree Angle with a Compass

To understand how to construct a 45-degree angle using a compass, follow the steps given below:

Step 1: Draw a horizontal ray BD (as shown in the figure below).

Step 2: Take any suitable width on the compass which is generally more than half of BD and draw an arc by keeping the compass tip at point B, which will intersect BD at point C.

Step 3: Without changing the width of the compass, place the compass tip at point C and cut the arc drawn in step 2. Name that point as P.

Step 4: Keep the compass tip at point P (without any change in the width of the compass), and cut the arc drawn in step 2. Name that point as Q.

Step 5: By keeping the compass tip at P, draw an arc between P and Q which will lie above point B. Intersect this arc by another arc drawn from point Q. Name this point as A.

Step 6: Join B to A. This will be a 90-degree angle. Now we just have to draw an angle bisector of the 90-degree angle to get a 45-degree angle. Place the compass tip at point C and draw an arc anywhere inside the angle ABD.

Step 7: Now place the compass tip at point A and cut the arc drawn in step 6. Mark that point as E. Join B to E. Angle EBD is the required angle of 45 degrees.