Question

Which of the following is greater than a right angle?
A)
 

 B)

C)
 

D)

Answer 1

Hint: To solve the question we need to have a knowledge of obtuse angle. An obtuse angle is defined as the angle which is greater than${{90}^{\circ }}$ . To solve the question will be to check whether the angle formed between the two lines when moved anticlockwise is greater than less than or equal to ${{90}^{\circ }}$. We will be analysing each option individually.

Complete step by step answer:
The question asks us to mark the correct option in which the angle formed by the two lines is greater than a right angle which means greater than ${{90}^{\circ }}$. To solve the question we need to move anticlockwise from the horizontal line to the other line and check whether the angle is greater than ${{90}^{\circ }}$ or not.
So on analysing option A we see that the angle formed between the two lines is ${{90}^{\circ }}$, as the lines are perpendicular. The image shows that the two lines are horizontal and vertical.
On analysing the second option we see that when we move anticlockwise along the line we see that the angle formed is less than ${{90}^{\circ }}$.
Moving to option C, since the angle is measured anticlockwise so on measuring the angle we see that the angle is present in the $3^{rd}$ quadrant. The angle formed is less than ${{90}^{\circ }}$as we move anticlockwise along the horizontal line given in the image.
In the fourth option we see that the angle formed on moving your hand anti-clockwise along the horizontal line we get an angle which is greater than ${{90}^{\circ }}$also called obtuse angle.

So, the correct answer is “Option D”.

Note: To find the angle formed between two lines, we always need to to measure the angle anticlockwise. When angles measured in less than, equal to or greater than ${{90}^{\circ }}$, they are called acute, right or obtuse angles respectively.