An angle of 42.5° can be constructed. Is the given statement true or false and give reasons for your answer.

Solution:

We know that

42.5° = 1/2 × 85°

85° cannot be constructed using a ruler and a compass

Here 42.5° is not a multiple of 3

So 42.5° cannot be constructed

Therefore, the statement is false.

✦ Try This: Write True or False in each of the following. Give reasons for your answer: An angle of 22.5° can be constructed

We know that

23.5° = 1/2 × 47°

47° cannot be constructed using a ruler and a compass

Here 47° is not a multiple of 3

So 47° cannot be constructed

Therefore, the statement is false.

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

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NCERT Exemplar Class 9 Maths Exercise 11.2 Problem 2

An angle of 42.5° can be constructed. Is the given statement true or false and give reasons for your answer.

Summary:

The statement “An angle of 42.5° can be constructed” is false as 85° cannot be constructed using a ruler and a compass

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