# State whether the given statement is true or false:

The measure of an obtuse angle is less than ${90^ \circ }.$

Answer

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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 ${90^ \circ }$.

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 ${90^ \circ }$.

Last updated date: 20th Sep 2023

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