Section 1.1 Different Types Of Angles

1) Classify this angle as either a(n) acute angle, right angle, or obtuse angle.

An acute angle is an angle that measures less than 90 degrees. In this case, the given angle is classified as an acute angle.

Explanation

An acute angle is an angle that measures less than 90 degrees. In this case, the given angle is classified as an acute angle.

Submit

2) Classify this angle as either a(n) acute angle, right angle, or obtuse angle.

A right angle is formed when two lines or sides intersect to form a 90-degree angle. In this case, the given angle is classified as a right angle because it measures exactly 90 degrees. This means that the angle is perpendicular and forms a perfect L shape.

Explanation

A right angle is formed when two lines or sides intersect to form a 90-degree angle. In this case, the given angle is classified as a right angle because it measures exactly 90 degrees. This means that the angle is perpendicular and forms a perfect L shape.

Submit

3) Classify this angle as either a(n) acute angle, right angle, or obtuse angle.

The given angle is classified as an obtuse angle because an obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees.

Explanation

The given angle is classified as an obtuse angle because an obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees.

Submit

4) What kind of angle is this?

Positive angle

Negative angle

Line

A positive angle is an angle that is measured counterclockwise from the initial side to the terminal side. In this case, since the question is asking about "what kind of angle" it is, and the answer is "Positive angle," it suggests that the angle being referred to is measured in a counterclockwise direction.

Explanation

A positive angle is an angle that is measured counterclockwise from the initial side to the terminal side. In this case, since the question is asking about "what kind of angle" it is, and the answer is "Positive angle," it suggests that the angle being referred to is measured in a counterclockwise direction.

5) What kind of angle is this?

Positive angle

Negative angle

Line

A negative angle is an angle that is measured in the clockwise direction from the positive x-axis. It is called a negative angle because it represents a rotation in the opposite direction of the positive angles, which are measured counterclockwise.

Explanation

A negative angle is an angle that is measured in the clockwise direction from the positive x-axis. It is called a negative angle because it represents a rotation in the opposite direction of the positive angles, which are measured counterclockwise.