Angle Classification: Identify the Type of ∢ABC in Geometric Notation

Question

What type of angle is

ABC ∢\text{ABC} ?

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Step-by-Step Solution

To determine the type of angle ABC \angle \text{ABC} , we will consider the following:

  • Step 1: Observe the positions of points A, B, and C, which are depicted in the diagram as lying on a straight line.
  • Step 2: Recognize that when three points lie on a straight line and a central point (B here) is between two others (A and C), it forms a flat angle.
  • Step 3: Recall that a flat angle is defined as an angle that measures 180180^\circ, which is the total rotation a line undergoes around a single point.

Visual inspection of the diagram confirms that points A, B, and C create a straight line. Hence, the angle ABC \angle \text{ABC} must be a flat angle.

Therefore, the angle ABC \angle \text{ABC} is a flat angle.

Answer

Flat angle