Statement 1 : In an obtuse angled triangle, two angles of the triangle are always acute.
Statement 2 : A triangle with one or more obtuse angle (more than 90°) is called an obtuse-angled triangle.
Which of the following options is correct?
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Answer
Since a triangle can have only one obtuse angle, the other two angles must be acute.
Thus, statement 1 is true.
A triangle can have only one obtuse angle, not "one or more"; an obtuse-angled triangle is a triangle with exactly one obtuse angle.
Thus, statement 2 is false.
Hence, option 3 is the correct option.