Question

State whether the given statement is true or false:
The measure of an obtuse angle is less than ${90}^{\circ }.$

Answer 1

Hint: Obtuse angle is always greater than ${90}^{\circ }$
From the definition of obtuse angle, we know that its value lies between ${90}^{\circ }$and ${180}^{\circ }$(both excluding) i.e.,
${90}^{\circ }<$ obtuse angle $<{180}^{\circ }$
Therefore, the given statement is false.
Note: Angles are divided into three categories on the basis of their measurement. Acute angle, obtuse angle and right angle. The measure of right angle is ${90}^{\circ }$ while the measure of acute angle is always less than ${90}^{\circ }$.