Angle Classification: Determine if the Given Angle is Acute, Right, or Obtuse

Question

Determine the type of angle given.

Video Solution

Solution Steps

00:00 Determine the type of angle
00:03 Draw the perpendicular to the segment
00:06 Observe that the angle is greater than 90 degrees
00:09 Therefore the angle is an obtuse angle (greater than 90 degrees)
00:13 This is the solution

Step-by-Step Solution

To solve this problem, we'll examine the image presented for the angle type:

  • Step 1: Identify the angle based on the visual input provided in the graphical representation.
  • Step 2: Classify it using the standard angle types: acute, obtuse, or straight based on their definitions.
  • Step 3: Select the appropriate choice based on this classification.

Now, let's apply these steps:

Step 1: Analyzing the provided diagram, observe that there is an angle formed among the segments.

Step 2: The angle is depicted with a measure that appears greater than a right angle (greater than 9090^\circ). It is wider than an acute angle.

Step 3: Given the definition of an obtuse angle (greater than 9090^\circ but less than 180180^\circ), the graphic clearly shows an obtuse angle.

Therefore, the solution to the problem is Obtuse.

Answer

Obtuse