How to extend one side of a triangle:
A triangle consists of 3 lines meeting at 3
vertices.
Any of the 3 lines can be extended (that
means to continue drawing the straight line beyond the vertex).
In the figure below, the horizontal side is
extended so that an exterior angle is formed.
I’ve named this exterior angle ∠c.
In this figure, ∠p + ∠q = ∠c (exterior angle)
∠p and ∠q are the interior angles.
∠c is the exterior angles.
This is a
property of a triangle drawn this way.
The exterior
angle is always equal to the sum of the 2 opposite
interior angles.
We can extend
any side of the triangle. For example:
Here,
∠a = ∠y + ∠z
∠b = ∠x + ∠z
∠c = ∠x + ∠y [CLICK ON THIS LINK TO FIND QUESTIONS INVOLVING EXTERIOR ANGLES]
