Question

Statement 1: A triangle in which each angle is acute is called an acute angle triangle.

Statement 2: A triangle in which each angle is obtuse is called an obtuse angle triangle.

• A. Both statements are true.
• B. Both statements are false.
• C. Statement 1 is false and statement 2 is true.
• D. Statement 1 is true and statement 2 is false.

Answer 1

The correct option is D Statement 1 is true and statement 2 is false.

A triangle in which each angle is acute i.e., less than ${90}^{\circ }$ then such triangle is called acute angled triangle.

So, statement 1 is true.

In an obtuse angled triangle one of the angles in a triangle is obtuse i.e., greater than ${90}^{\circ }$.
$\because$ Sum of angles in a triangle is equal to ${180}^{\circ }$.
$\therefore$ In a triangle, more than one one obtuse angle is not possible.
So, statement 2 is false.