The problem asks us to identify the type of angle for each of the given figures a) through f). The types of angles we will be identifying are: acute, right, obtuse, straight, and reflex. * An acute angle is an angle that measures between $0^\circ$ and $90^\circ$. * A right angle is an angle that measures exactly $90^\circ$. * An obtuse angle is an angle that measures between $90^\circ$ and $180^\circ$. * A straight angle is an angle that measures exactly $180^\circ$. * A reflex angle is an angle that measures between $180^\circ$ and $360^\circ$.

GeometryAnglesAngle TypesAcute AngleRight AngleObtuse AngleStraight AngleReflex Angle
2025/5/6

1. Problem Description

The problem asks us to identify the type of angle for each of the given figures a) through f). The types of angles we will be identifying are: acute, right, obtuse, straight, and reflex.
* An acute angle is an angle that measures between 00^\circ and 9090^\circ.
* A right angle is an angle that measures exactly 9090^\circ.
* An obtuse angle is an angle that measures between 9090^\circ and 180180^\circ.
* A straight angle is an angle that measures exactly 180180^\circ.
* A reflex angle is an angle that measures between 180180^\circ and 360360^\circ.

2. Solution Steps

a) The angle appears to be greater than 9090^\circ and less than 180180^\circ.
Therefore, it is an obtuse angle.
b) The angle appears to be less than 9090^\circ.
Therefore, it is an acute angle.
c) The angle appears to be greater than 180180^\circ and less than 360360^\circ.
Therefore, it is a reflex angle.
d) The angle is marked with a square, indicating that it is a right angle.
Therefore, it is a right angle.
e) The angle appears to be exactly 180180^\circ, forming a straight line.
Therefore, it is a straight angle.
f) The angle appears to be less than 9090^\circ.
Therefore, it is an acute angle.

3. Final Answer

a) Obtuse angle
b) Acute angle
c) Reflex angle
d) Right angle
e) Straight angle
f) Acute angle

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