There are two set-squares in your box. What are the measures of the angles that are formed at their corners? Do they have any angle measure that is common?

Solution:

We will use the concept of angles to solve this.

The figures of the two set-squares are given below:

From the above figure, we can determine that

The measured angles of a triangle (a) are 30°, 60°, and 90°

The measured angles of a triangle (b) are 45°, 45°, and 90°.

Yes, they have a common angle of measure that is 90°.

NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.5 Question 3

There are two set-squares in your box. What are the measures of the angles that are formed at their corners? Do they have any angle measure that is common?

Summary:

The angles formed at the corners of set-squares (a) are 30°, 60°, and 90°. The angles formed at the corners of set-squares (b) are 45°, 45°, and 90°. Thus, they have a common angle of measure that is 90°.

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