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  1. 1. Find the sum of the measures of the interior angles of a convex heptagon. 2. Find the value of x in the figure. Then use x to find m ∠A and m ∠D. 3. Find the measure of each interior angle of a regular dodecagon. 4. The measure of an interior angle of a regular polygon is 165°. Find the number of sides of this polygon. 5.

  2. 7.1 ­ Polygon Formulas Sum of Exterior Angles If one exterior angle is drawn at each of the vertices, the sum of all the exterior angles is 360o. Regular Polygons Examples 5.) The trampoline to the right is a regular dodecagon. a.) Find the measure of each interior angle. b.)

  3. The sides or edges of a polygon are made of straight line segments connected end to end to form a closed shape. The point where two line segments meet is called vertex or corners, and subsequently, an angle is formed. If a polygon contains congruent sides, then that is called a regular polygon.

  4. A regular polygon has 12 sides. Work out the size of each interior angle. Explain why the sum of the interior angles in a regular pentagon is 5400. ...............................................................................................................................

  5. A regular polygon has 12 sides. Work out the size of each interior angle. (IV-I) k . © Corbettmaths 2023 ( 90 . 10. Explain why the sum of the interior angles in a regular pentagon is 5400 Of 90 ...3. x .11 c) (2) Shown below is a regular hexagon, with an exterior angle labeled y.

  6. Answers and Video Solutions. Calculate the size of angle x. Calculate the size of angle y. = .........................°. (2) 4. Shown below is a regular pentagon. (a) Find the size of each interior angle. Three identical regular pentagons are joined as shown above. (b) Work out the size of angle y. x = .........................°. (2)

  7. Each exterior angle of a regular polygon is 30°. Work out the number of sides of the polygon. ..... (2 marks) 2. Work out the size of an exterior angle of a regular pentagon. .....° (2 marks) 3. Calculate the size of the exterior angle of a regular hexagon. .....° (2 marks) Diagram accurately drawn NOT Diagram accurately drawn NOT

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