Lesson on Types of Angles: An Overview

Various types of angles exist in nature, and each one of them lugs much significance in our every day lives.

For example, designers and engineers also use angles when designing equipment, buildings, roads, and bridges.

In sports, professional athletes utilize angles to boost their efficiency. For example, in other words put, an individual should spin with the disk at a specific angle to throw it much. In football, you should use a certain angle to pass the sphere to the next player.

Carpenters and artisans also utilize angles to fabricate objects such as couches, tables, chairs, pails, and other. Artists make use of angles to illustration pictures and even paintings. The stylist also utilizes angles to come with particular with the best clothing. For these reasons, it is for that reason required we discover the different kinds of angles.

Types of Angles

Angles are classified based on:



Classification of angles based upon their magnitude.

There are seven different types of angles based on their level measurement. They include:.

  • No Angles.
  • Acute Angles.
  • Right Angles.
  • Obtuse Angles.
  • Straight Angles.
  • Response Angles.
  • Full Angle.
  • No Angle.

A 0 ° is an angle formed when both the angle’s arms go to the same placement.

∠ RPQ = 0 ° (zero angle).

Negative Angle.

It is an angle that is more than 0 ° but less than 90 °. Typical examples of negative angles include 15 °, 30 °, 45 °,

60 ° etc. ∠ XYZ is more than 0 ° yet less than 90 °(intense angle). 90 Level Angle. A 90-degree angle, additionally known as an ideal angle, is an angle whose action is equal to 90 ° is called an appropriate angle. Right angles are stood for by attracting a little square box between the arms of an angel.

∠ ABC = 90 ° (right angle).

There will undoubtedly be an entire article on appropriate triangular in the following section (of Triangular).

Obtuse Angle.

An obtuse angle is a kind of angle whose level measurement is more than 90 ° yet less than 180 °. Instances of obtuse angles are 100 °, 120 °, 140 °, 160 °, 170 ° and so on.

∠ PQR is an obtuse angle since its less than 180 ° and also more than 90 °,

Straight Angle.

It is a straight angle whose action is equal to 180 ° (straight line).

∠ XYZ =180 ° (straight angle).

Reflex Angle

Reflex angles have a degree measurement of more than 180 ° yet less than 360 °. Typical instances of response angles are; 200 °, 220 °, 250 °, 300 °, 350 ° etc.

∠ PQR is more significant than 180 ° yet less than 360 °

Full Angle.

A maximum angle amounts to 360 °. one transformation amounts to 360 °

Types of angles based on a rotation

Based on rotation, angles can be categorized right into two categories, namely.

Positive Angles.

Negative Angles.

Positive Angles.

Favourable angles are the types of angles whose measurement are taken in a counterclockwise instruction from the base.

Negative Angles.

Unfavourable angles are measured in a clockwise direction from the base.

Various other types of angles.

Aside from the above-discussed angles, there are other kinds of angles known as set angles. They are called pair angles since they show up in pairs to show a particular property. These are:.

Adjacent angles have the very same vertex and also arm.

Corresponding angles: Set angles that add up to 90º.

Supplementary angles: Set angles whose sum of angles amounts to 180º.

Up And Down Reverse Angles. Up and down opposite angles are equivalent.

Alternate Inside Angles: Alternate interior angles are set angles created when a line intersects two identical lines. Alternating indoor angles are always equal to each other.

Alternate Outside Angles: Alternating outside angles are only vertical angles of the alternative interior angles. Alternating exterior angles are equivalent.

Corresponding Angles: Corresponding angles are set angles formed when a line converges a pair of parallel lines. Complementary angles are additionally equal to each other.

Now, let’s undergo a couple of instance issues involving different kinds of angles.

Example on Types of Angles:

A particular angle is that two times the amount of its size, and 10 ° is 60 °. What is the name of this angle?


The angle be x °

⇒ 2( x + 10) = 60 °.

⇒ 2x + 20 °

= 60 °.

⇒ 2x = 40 °. x = 20 °. The angle is 20 °. Given that 20 ° is less than 90 °, the kind of angle negative angle.