Question

$ {179^0} $ is an example of
 $ A) $ obtuse
 $ B) $ acute
 $ C) $ right
 $ D) $ None of the above

Answer 1

Hint: First, we will see about the angles.
When the two lines interest, at the point of their intersection an angle is formed, they form the base of geometry. Angles don't need to be formed only by the intersection of two straight lines; they can also form by the intersection of two curved lines too. Types of angles are acute angle, Right angle, Obtuse angle, Straight angle, and Reflex angle. Here the question is to find in what angle the degree $ {179^0} $ occurs.

Complete step-by-step answer:
 $ B) $ Acute
First, take option B, an acute angle is measured less than $ {90^0} $ . The measure of this angle is only at between $ {0^0} $ to $ {90^0} $ .
It can be represented as

As we see using the diagram representation of the acute angle and it was not exceeding the angle of ninety degrees.
Hence there is no possibility of getting the angle $ {179^0} $ in an acute angle.
Thus option $ B) $ acute is wrong.
Now take the options $ C) $ right
An angle that measures exactly $ {90^0} $ is known as the right angle. When two lines are perpendicular to each other.
The right angle can be represented as

Hence there is no way of getting the $ {179^0} $ because it will not exceed the $ {90^0} $
Hence option $ C) $ right is the wrong option.
For option $ A) $ obtuse
An angle that measures greater than $ {90^0} $ is called the obtuse angle.
It will measure from the range of $ {90^0} $ to $ {180^0} $ and obtuse angle can be also found out if we have the measure of acute angle
The obtuse angle can be represented as

Obtuse angle measure = $ {180^0} $ - acute angle measures.
Hence the extended line will be given as \[{120^0} + {60^0} = {180^0}\]
Therefore $ {179^0} $ will lie on the Obtuse angle, hence the result.
So, the correct answer is “Option D”.

Note: The straight angle measures exactly the \[{180^0}\]which is more like the straight line. Reflex angle measures greater than \[{180^0}\]and less than \[{360^0}\]. It can be calculated by measuring the measure of acute angle from the given and it’s complement of the acute angle on the other side. The total angle is \[{360^0}\]from the given circle.