Question

If x is an obtuse angle, then what is true for x?

(a) x = 90°

(b) 180° < x < 360°

(c) 0° < x < 90°

(d) 90° < x < 180°

This question was addressed to me during an interview for a job.

The above asked question is from Lines and Angles Definitions and Basic Terms in division Lines and Angles of Mathematics – Class 9

Answer 1

The correct option is (d) 90° < x < 180°

To elaborate: An obtuse angle always measures between 90° and 180°, therefore the value of an acute angle is always between 90° and 180°. In the diagram given below, ∠PQR is an obtuse angle whose value is greater than 90° and less than 180°.