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

Determine the type of angle given.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

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1

Understand the problem

Determine the type of angle given.

2

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.

3

Final Answer

Obtuse

Practice Quiz

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Fill in the blanks:

In an isosceles triangle, the angle between two ___ is called the "___ angle".

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