Question

The diagram shows a regular octagon and an equilateral triangle joined together.
AB and BC are two sides of a regular polygon.
How many sides does this polygon have?

Answer 1

The sides of a regular polygon are equal.

The new polygon has 9 sides.

From the question, we understand that;

The octagon and the equilateral triangle are joined together.

When both shapes are joined, they both lose one sides, each.

This means that, the octagon becomes 7-sided, while the triangle becomes 2-sided.

So, the number of sides (n) of the resulting shape is:

$n = 7 + 2$

$n = 9$

Hence, the shape has 9 sides.

Read more about polygons at:

https://brainly.com/question/3491511