It is possible to have a triangle in which two angles are acute. State whether the statement is true or false.

Solution:

Given, it is possible to have a triangle in which two angles are acute.

We have to determine if the given statement is true or false.

An acute angle is defined as an angle that measures less than 90 degrees i.e. measure between 0° to 90°.

Consider two acute angles 60° and 70°

Sum of two acute angles = 60° + 70° = 130°

According to the angle sum property of a triangle, the sum of all three interior angles of a triangle is 180 degrees.

We observe that 130 degrees is less than 180 degrees.

The sum of interior angles of a triangle cannot be greater than 180 degrees.

Therefore, a triangle can have two acute angles.

✦ Try This: It is possible to have a triangle in which two angles are equal to 50°. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6

NCERT Exemplar Class 7 Maths Chapter 6 Problem 80

It is possible to have a triangle in which two angles are acute. State whether the statement is true or false.

Summary:

The given statement,”It is possible to have a triangle in which two angles are acute” is true.

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