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Angle Properties

Angle Properties. Revision of Level E. Interior / Exterior Angles. Angles in Time. www.mathsrevision.com. Starter Questions. 5 cm. 3 cm. 3 cm. 10 cm. www.mathsrevision.com. Angle Properties. Revision of Level E. Learning Intention. Success Criteria.

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Angle Properties

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1. Angle Properties Revision of Level E Interior / Exterior Angles Angles in Time www.mathsrevision.com Created by Mr. Lafferty

2. Starter Questions 5 cm 3 cm 3 cm 10 cm www.mathsrevision.com Created by Mr. Lafferty

3. Angle Properties Revision of Level E Learning Intention Success Criteria • Remember basic properties for angles. • We are reviewing angle properties. • Apply properties to solve angle problems.. www.mathsrevision.com Created by Mr. Lafferty

4. Angle Properties 115o 95o 120o 50o 40o 34o 34o Revision of Level E MTH 3-17a 65o Two angles making a straight line add to 180o 145o Angles round a point Add up to 360o www.mathsrevision.com 90o 146o 146o 3 angles in a triangle ALWAYS add up to 180o. angles opposite each other at a cross are equal. Created by Mr. Lafferty

5. Angle Properties d = 115o ao co bo ho eo go fo Revision of Level E MTH 3-17a ALL angles in an equilateral triangle are 60o Two angles in a isosceles Are equal www.mathsrevision.com h is corresponding to d and must be 115o b is opposite to d and must be 115o c is must be 65o (straight line) e is alternate to c and must also be 65o Created by Mr. Lafferty

6. Angle Properties Revision of Level E Now try Exercise 1 Ch3 (page 21) Copy out shapes www.mathsrevision.com Created by Mr. Lafferty

7. Starter Questions 7 cm 3 cm 5 cm 20 cm www.mathsrevision.com Created by Mr. Lafferty

8. Polygons Interior and Exterior Angles Learning Intention Success Criteria • To know the term polygon. • We are exploring interior and exterior angles of a polygon . • Understand steps for calculating the interior and exterior angle of a polygon. www.mathsrevision.com Created by Mr. Lafferty

9. Polygons Interior and Exterior Angles A polygon is a “many-sided closed straight-lined figure” This 5-sided (polygon) is called a PENTAGON www.mathsrevision.com Irregular Pentagon Created by Mr. Lafferty

10. Polygons Interior and Exterior Angles A polygon is a “many-sided closed straight-lined figure” If all the sides and angles are the same it is called REGULAR POLYGON. We will only be dealing with regular polygons in this section. www.mathsrevision.com Pentagon Hexagon Octagon Created by Mr. Lafferty

11. 45o 72o 60o Pentagon Hexagon Octagon Interior Angle Interior Angles Polygons Interior and Exterior Angles Some useful points about regular polygons : • All the triangles around the centre are isosceles. • Angle at the centre is 360o • To find one angle at the centre, take 360o and divide it by how many triangles you have www.mathsrevision.com Created by Mr. Lafferty

12. Pentagon (5 sided) Hexagon (6 sided) Heptagon (7 sided) Octagon (8 sided) Nonagon (9 sided) Decagon (10 sided) Level F - Polygons Worksheet Ex2 MTH 3-17a www.mathsrevision.com Created by Mr. Lafferty

13. Polygons Interior and Exterior Angles MTH 3-17a Now try Exercise 2 Ch3 (page 23) Q1-Q6 Use worksheet Provide www.mathsrevision.com Created by Mr. Lafferty

14. Polygons Interior and Exterior Angles What you should have found : Interior angle = 180 – (360÷n) n = Number of sides www.mathsrevision.com eg . A hexagonal has interior angle is: Interior angle = 180 – (360÷6) = 120o Created by Mr. Lafferty

15. Polygons Interior and Exterior Angles A E B This is called the “Exterior angle” O Pentagon Q D C www.mathsrevision.com Exterior angle = 180 – interior angle eg . For the pentagon above : Exterior angle = 180 – 108 = 72o Created by Mr. Lafferty

16. Polygons Interior and Exterior Angles MTH 3-17a Now try Exercise 2 Ch3 (page 23) Q8-Q9 Use worksheet Provide www.mathsrevision.com Created by Mr. Lafferty

17. Starter Questions 10 cm 4 cm 3 cm 7 cm www.mathsrevision.com Created by Mr. Lafferty

18. Polygons Interior and Exterior Angles MTH 3-17a Practice on Angles Now try Exercise 3 Ch3 (page 26) www.mathsrevision.com Created by Mr. Lafferty

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