Types of Aangles (Right, Acute, Obtuse, Flat): Adding / subtracting angles

Examples with solutions for Types of Aangles (Right, Acute, Obtuse, Flat): Adding / subtracting angles

Exercise #1

right angle?

Step-by-Step Solution

To solve this problem, we need to recall the definition of a right angle.

A right angle is defined as an angle that measures exactly 90 90^\circ . This is a standard definition found in geometry, describing an angle formed by the intersection of two perpendicular lines.

Given the multiple-choice options, we need to identify which one corresponds to a right angle:

  • A right angle measures 90 90^\circ .

Let's examine the provided choices:

  1. Angle of 180°.
  2. Minor angle of 90°.
  3. Angle of 90°.
  4. Angle greater than 90°.

Choice 3, "Angle of 90°," directly matches the definition of a right angle.

Therefore, the correct answer is Angle of 90°.

Answer

Angle of 90°.

Exercise #2

What is a flat angle?

Step-by-Step Solution

To solve this problem, let's begin by understanding what a flat angle is:

  • A flat angle is an angle that measures exactly 180180^\circ.
  • Visually, you can think of a flat angle as a straight line, where the two arms of the angle lie on opposite sides of the vertex, forming a straight angle.
  • It is larger than a right angle, which measures 9090^\circ, and exactly twice the measure of a right angle.
  • Flat angles are often used to understand the concept of supplementary angles, where two angles sum up to create a flat angle of 180180^\circ.
  • None of the sides of a flat angle are considered to turn; they continue in a straight direction.

Among the given choices, the option that correctly defines a flat angle is the one that states, "Angle of 180°."

Therefore, the solution to the problem is that a flat angle is an angle of 180180^\circ.

Answer

Angle of 180°.

Exercise #3

Does the sum of the angles represent a straight angle?

6030

Video Solution

Answer

Yes, as they are equal to -180°.