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