Table of Contents
- Example
- What’s Next?
In the previous segment, we proved the angle sum property of a triangle. In this segment, we will look at an example that applies property.
Angle Sum Property of Triangle – Example
Q. For the given regular polygon, find the sum of its interior angles.
Solution:
The given figure is a regular polygon, that is, all its sides are equal and all its angles are also equal to each other. The polygon has 6 interior angles.
The polygon is made up of two triangles: △ACE and △BDF.
The sum of the interior angles of a triangle is 180?.
∴ In Δ???, ∠? + ∠? + ∠? = 180∘
and in Δ???, ∠? + ∠? + ∠? = 180∘
Now,
sum of interior angles of polygon = ∠? + ∠? + ∠? + ∠? + ∠? + ∠?
= (∠? + ∠? + ∠?) + (∠? + ∠? + ∠?)
= 180∘ + 180∘
