Answer:
[tex]\angle 1[/tex] is an obtuse angle
Step-by-step explanation:
An angle is a figure formed by two sides of a triangle sharing the common vertex.
Basically, in a triangle , an angle refers to a amount of turn by the sides of the triangle around a common vertex.
An acute angle is angle whose measure is less than [tex]90^{\circ}[/tex] and an obtuse angle is a angle whose measure lies between [tex]90^{\circ}[/tex] and [tex]180^{\circ}[/tex].
A right angle is equal to [tex]90^{\circ}[/tex]
A straight angle is equal to [tex]180^{\circ}[/tex]
A complete angle is equal to [tex]360^{\circ}[/tex]
Here, from the figure we observe that [tex]0^{\circ}\,\,< \,\,\angle 2\,,\,\angle 3\,,\,\angle 4\,\,< 90^{\circ}[/tex]
So, angles [tex]\angle 2\,,\,\angle 3\,,\,\angle 4[/tex] are acute angles.
[tex]90^{\circ}\,\,< \angle 1\,\,< 180^{\circ}[/tex]
So, [tex]\angle 1[/tex] is an obtuse angle.
