question_answer 18)

Say true or false. (a) The measure of an acute angle \[<{{90}^{o}}\]. (b) The measure of an obtuse angle \[<{{90}^{o}}\]. (c) The measure of a reflex angle \[>{{180}^{o}}\]. (d) The measure of one complete revolution \[={{360}^{o}}\]. (e) If \[m\angle A={{53}^{o}}\] and \[m\angle B={{35}^{o}},\]then \[m\angle A>m\angle B.\]

Answer:

(a) True, because the measure of an acute angle is always less than \[{{90}^{o}}\]. (b) False, because the measure of an obtuse angle is always greater than \[{{90}^{o}}\]. (c) True, because the measure of a reflex angle is always greater than \[{{180}^{o}}\] and less than \[{{360}^{o}}\]. (d) True, because the measure of one complete revolution is equal to \[{{360}^{o}}\]. (e) True, because the measure of angle A is greater than angle B.