An angle of 67.5° can be constructed. Is the given statement true or false and give reasons for your answer.

Solution:

We know that

67.5° = 135°/2

It can be written as

67.5° = 1/2 (90° + 45°)

Therefore, the statement is true.

✦ Try This: Write True or False and give reasons for your answer. An angle of 75° can be constructed.

We know that

75° = 150°/2

It can be written as

75° = 1/2 (90° + 60°)

Therefore, the statement is true.

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

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NCERT Exemplar Class 9 Maths Exercise 11.2 Sample Problem 1

An angle of 67.5° can be constructed. Is the given statement true or false and give reasons for your answer.

Summary:

The measure of the “opening” between these two lines is called an “Angle”. The statement “An angle of 67.5° can be constructed” is true

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