With the help of a ruler and a compass it is not possible to construct an angle of :
a. 37.5°
b. 40°
c. 22.5°
d. 67.5°

Solution:

Let us find angle by ruler and a compass

37.5° can be drawn by bisecting 150° twice which can be done by compass

22.5° is the bisector of 90° and can be drawn using a compass

67.5° is the bisector of 135° and can be drawn using a compass

40° cannot be constructed using a ruler and a compass

Therefore, it is not possible to construct an angle of 40°.

✦ Try This: The construction of a triangle ABC in which AB = 6 cm, ∠A = 40° is not possible when difference of BC and AC is equal to:

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

NCERT Exemplar Class 9 Maths Exercise 11.1 Problem 1

With the help of a ruler and a compass it is not possible to construct an angle of : a. 37.5°, b. 40°, c. 22.5°, d. 67.5°

Summary:

The measure of the “opening” between these two lines is called an “Angle”. With the help of a ruler and a compass it is not possible to construct an angle of 40°

☛ Related Questions:

Math worksheets and
visual curriculum