Types of angles (right, acute, obtuse, straight)

Acute angle - greater than 0 and less than 90

Illustration of an acute angle, measuring less than 90 degrees. The angle is highlighted in orange, emphasizing its small size. A black curved arc marks the interior of the angle, visually representing the measure

Right angle - equals 90

Diagram of a right angle, measuring exactly 90 degrees. The two perpendicular orange lines form a perfect L-shape, with a small black square in the corner indicating the right angle property.

Obtuse angle - greater than 90 and less than 180

Diagram of an obtuse angle, measuring greater than 90 degrees but less than 180 degrees. The two orange lines form an open angle, with a black arc marking the angle measurement.

Straight angle - equals 180

Diagram of a straight angle, measuring exactly 180 degrees. A vertical orange line intersects a black semicircle, illustrating the concept of a straight angle in geometry.

Practice Types of Aangles (Right, Acute, Obtuse, Flat)

Examples with solutions for Types of Aangles (Right, Acute, Obtuse, Flat)

Exercise #1

True or false?

An acute angle is smaller than a right angle.

Step-by-Step Solution

The definition of an acute angle is an angle that is smaller than 90 degrees.

Since an angle that equals 90 degrees is a right angle, the statement is true.

Answer

True

Exercise #2

Which figure depicts a right angle?

Video Solution

Step-by-Step Solution

A right angle is equal to 90 degrees.

In diagrams (a) and (c), we can observe that the angle symbol is a symbol representing an angle that equals 90 degrees.

Answer

Exercise #3

Which of the following angles are obtuse?

Video Solution

Step-by-Step Solution

By definition, an obtuse angle is an angle that is greater than 90 degrees. We can observe that in one drawing there is an angle of 90 degrees and therefore it is not an obtuse angle, the other two angles are less than 90 degrees meaning they are also not obtuse, they are acute angles.

Therefore, none of the answers is correct.

Answer

None of the options

Exercise #4

If two adjacent angles are not equal to one another, then one of them is obtuse and the other is acute.

Video Solution

Step-by-Step Solution

The answer is correct because the sum of two acute angles will be less than 180 degrees and the sum of two obtuse angles will be greater than 180 degrees

Answer

True

Exercise #5

Choose the appropriate triangle according to the following:

Angle B equals 90 degrees.

Video Solution

Step-by-Step Solution

Let's note in which of the triangles angle B forms a right angle, meaning an angle of 90 degrees.

In answers C+D, we can see that angle B is smaller than 90 degrees.

In answer A, it is equal to 90 degrees.

Answer

AAABBBCCC

Exercise #6

True or false?

One of the angles in a rectangle may be an acute angle.

Video Solution

Step-by-Step Solution

One of the properties of a rectangle is that all its angles are right angles.

Therefore, it is not possible for an angle to be acute, that is, less than 90 degrees.

Answer

False

Exercise #7

True or false?

The sum of two acute angles can be greater than 180 degrees?

Video Solution

Answer

False.

Exercise #8

Does the drawing show an adjacent angle?

Video Solution

Answer

Not true

Exercise #9

Does the drawing show an adjacent angle?

Video Solution

Answer

Not true

Exercise #10

Which of the angles is not an obtuse angle?

Video Solution

Answer

Exercise #11

Which of the following angles is a plane angle?

Video Solution

Answer

Exercise #12

Which of the following angles is straight?

Video Solution

Answer

Exercise #13

Which of the following angles is obtuse?

Video Solution

Answer

100°

Exercise #14

Which of the following angles is obtuse?

Video Solution

Answer

Exercise #15

Which figure shows a right angle?

Video Solution

Answer