Geometric Angle Classification: Determine the Angle Type from Visual Diagram

Question

Determine the type of angle given.

Video Solution

Solution Steps

00:00 Determine the type of angle
00:04 Draw a perpendicular to the segment
00:07 Observe that the angle is less than 90 degrees
00:13 Therefore the angle is an acute angle (less than 90 degrees)
00:16 This is the solution

Step-by-Step Solution

To determine the type of angle, consider this interpretation:

  • Step 1: Examine the angle formed by the depicted intersection of two lines in the diagram.
  • Step 2: Compare the observed angle with known categories: an acute angle is less than 9090^\circ, an obtuse angle is greater than 9090^\circ but less than 180180^\circ, and a straight angle is exactly 180180^\circ.
  • Step 3: Visually, the angle appears sharp and much less than 9090^\circ, suggesting it is an acute angle.

Therefore, the type of angle in the diagram is Acute.

Answer

Acute