Interior and Exterior of an Angle

Interior and exterior of an angle is explained here.

The shaded portion between the arms BA and BC of the angle ABC can be extended indefinitely.

Interior and Exterior of an Angle



This portion is called the interior of the angle. X is a point in the interior of the angle. The point Y lies in the exterior of the angle. 

The point Z lies on the angle.

Interior and Exterior of an Angle



In the above figure, here ∠1 is called the interior angle because it lies inside the two arms. ∠2 is called the exterior angle. Whenever two rays meet, two angle are formed – one an interior angle and other an exterior angle. The size of an angle is measured by the amount of turn or rotation of two arms and not by how long the arms appear to be.

Interior and Exterior of an Angle

Here ∠a is greater than ∠b, ∠b is greater than ∠c.


Let ∠XOY be an angle in the plane. The rays OX and OY divide all the points of the plane in three regions (as shown in the below figure).

Interior and Exterior of an Angle

Now, we have the following:

(i) The region shown by the shaded part is the interior of ∠XOΥ.

(ii) The region of all the points, which do not lie in the interiors well as on its arms, is called the exterior of ∠XOY.

(iii) The region of all those points which lie on the arms OX and OY is called the common boundary of the two regions.

In the above figure, points P and R are in the exterior of ∠XOY, Q is in the interior of ∠XOY and O, B, S, X, Y lie on the boundary of ∠XOY.


Notes:

1. The arms of an angle separate its interior and exterior.

2. The interior of an angle together with its boundary is called the angular region of the angle

You might like these

● Angle.

Interior and Exterior of an Angle.

Measuring an Angle by a Protractor.

Types of Angles.

Pairs of Angles.

Bisecting an angle.

Construction of Angles by using Compass.

Worksheet on Angles.

Geometry Practice Test on angles.




5th Grade Geometry Page

5th Grade Math Problems

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