Obtuse Angle | Tutorela

Definition of Obtuse Angle

An obtuse angle is an angle that measures more than $90°$ degrees, but less than $180°$ degrees.

Acute angles can appear in triangles, parallelograms, and other geometric shapes.

Obtuse Angle

Detailed explanation

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Test yourself on types of aangles (right, acute, obtuse, flat)!

True or false?

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

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Examples and Exercises with Solutions for Obtuse Angles

Exercise #1

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 #2

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 answer is correct.

Answer

True

Exercise #3

If the two adjacent angles are not equal to each other, then one of them is obtuse and the other 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 #4

Which figure depicts a right angle?

Video Solution

Step-by-Step Solution

A right angle is equal to 90 degrees. In diagrams A+C, we see that the angle symbol is a symbol representing an angle that equals 90 degrees.

Answer

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

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Test your knowledge

Question 1

True or false?

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

Question 2

True or false?

An acute angle is smaller than a right angle.

Question 3

The sum of the adjacent angles is 180

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