Question

How big can an obtuse angle be?

Answer 1

Hint: An angle is formed when two rays intersect at one given point. Obtuse angle is more than a right angle but less than \[{180^ \circ }\]

Complete step by step answer:
In geometry, there are various types of angles that are used very frequently. Some angles are named for one fixed measure whereas; some angles are named for a range of values. For example, a right angle whose measure is \[{90^ \circ }\], a complete angle whose measure is \[{360^ \circ }\] and a straight angle whose measure is \[{180^ \circ }\], are examples of angles having one fixed measure.
Some examples of angles having a range of values are- acute angle, whose measure is always between \[{0^ \circ }\]and \[{90^ \circ }\], an obtuse angle, whose measure is always between \[{90^ \circ }\]and \[{180^ \circ }\] a reflex angle whose measure is always between \[{180^ \circ }\]and \[{360^ \circ }\] .
Following figures show some of the angles stated above:
Acute Angle,

Right angle

Obtuse Angle

Straight angle,

Reflex angle

Note: There are some rules associated with measuring the angles.
Some them being: Angles are always measured in clockwise direction. Conventionally, clockwise direction is chosen to measure an angle, however, in some rare cases, one might take the anti-clockwise direction to measure an angle.
The direction of measuring the angle is a source of mistake in answers. These angles are important to remember because the geometric figures are named using these angles, for example, a right angled triangle has one of the angles as \[{90^ \circ }\], among the three angles of the triangle.
An obtuse angled triangle will have one of its angles as obtuse among the three.
Hence, it is essential to remember that obtuse angles lie between \[{90^ \circ }\] and \[{180^ \circ }\], or one could also say, an obtuse angle is an angle lying between a straight angle and a right angle.