With the help of a ruler and a compass, it is possible to construct an angle of :
a. 35°
b. 40°
c. 37.5°
d. 47.5°

Solution:

Steps of construction

1. Construct a line with a ruler and name it as BC

2. Taking B as centre and suitable radius, construct an arc which meets BC at the point P with the help of a compass

3. Taking P as centre and suitable radius construct arcs PQ and QR

4. Bisect arc QR at S and bisect arc QS at T

5. Bisect arc PT at K

6. Join BK and produce it to A.

With the help of a ruler and a compass, it is possible to construct an angle of : a. 35°, b. 40°, c. 37.5°, d. 47.5°

Now we get

∠ABC = 37 1/2 ° = 37.5°

Therefore, it is possible to construct an angle of 37.5°.

✦ Try This: Construct an angle of 45° with the help of a ruler and a compass.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 11

NCERT Exemplar Class 9 Maths Exercise 11.1 Sample Problem 1

With the help of a ruler and a compass, it is possible to construct an angle of : a. 35°, b. 40°, c. 37.5°, d. 47.5°

Summary:

With the help of a ruler and a compass, it is possible to construct an angle of 37.5°

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