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

Solution:

Given, it is possible to have a triangle in which two of the angles are obtuse.

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

An obtuse angle is defined as an angle that is greater than 90° and less than 180° i.e 90° to 180°.

Consider two obtuse angles 100° and 130°

Sum of two obtuse angles = 100° + 130° = 260°

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 260 degrees is greater than 180 degrees.

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

Therefore, a triangle cannot have two obtuse angles.

✦ Try This: It is possible to have a triangle in which two of the angles are equal to 100°. 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 79

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

Summary:

The given statement,”It is possible to have a triangle in which two of the angles are obtuse” is false.

☛ Related Questions:

• It is possible to have a triangle in which two angles are acute. State whether the statement is true . . . .
• It is possible to have a triangle in which each angle is less than 60°. State whether the statement . . . .
• It is possible to have a triangle in which each angle is greater than 60°. State whether the stateme . . . .