angles and shapes

Angles in polygons

QUESTION #1

What is the sum of the angles in these regular polygons?

What is the measure of each angle?

ANSWER #2

A triangle has 180 degrees.

Let’s see how many triangles can we see in each each shape.

Note: A regular polygon has all sides and all angles equal.

Extend

What is the sum of angles of the regular polygon below? What is the measure of each angle?

 

QUESTION #2

What is the value of x?

ANSWER #2

HINTS

  • opposite angles are equal
  • angles that form a straight line have a sum of 180 degrees

QUESTION #3

What is the value of x?