An angle whose measure is greater than that of a right angle is?
 $ \left( a \right){\text{ Acute}} $
 $ \left( b \right){\text{ Obtuse}} $
 $ \left( c \right){\text{ Right}} $
 $ \left( d \right){\text{ Straight}} $

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Hint: Acute angles are those angles whose measure will be less than $ {90^ \circ } $ , and obtuse angles are those angles which will be more than $ {90^ \circ } $ and less than $ {180^ \circ } $ . For the straight line, the angle will be exactly $ {180^ \circ } $ and for the right angle, the angle will be exactly $ {90^ \circ } $ . So by using all this information, we can now answer such types of questions.

Complete step-by-step answer:
So we have the question which is saying that we have to find an angle whose measure is greater than that of a right angle.
As we had seen about the right angle, which is the angle that will be exactly equal to $ {90^ \circ } $ or we can say it the quarter of a full revolution.
So greater than right angle means the angle will be greater than $ {90^ \circ } $ . So from the option, only one term is fulfilling this criterion and it is an obtuse angle whose measure is more than $ {90^ \circ } $ and less than $ {180^ \circ } $ .
Hence, an angle whose measure is greater than that of a right angle is an obtuse angle.
Therefore, the option $ \left( b \right) $ is correct.
So, the correct answer is “Option b”.

Note: So for solving this type of question we need to go through the options and also about them. As we have seen about the obtuse angle so for a real-life example of obtuse angle, we can say that the vertical range of the visual field in humans is around $ {150^ \circ } $ and another example of it will be the door, a book, a cabined, etc. wide open are some real-life examples of the obtuse angle whose measure is more than $ {90^ \circ } $ and less than $ {180^ \circ } $ .