Angles

Angles,[object Object],BTESSSBAT: measure angles, identify angles, find the internal and external angles of regular polygons and use angle theorems to solve problems,[object Object]

Key words,[object Object],acute,[object Object],obtuse,[object Object],rotation,[object Object],reflex,[object Object],internal,[object Object],external,[object Object],theorem,[object Object],opposite,[object Object],parallel,[object Object],corresponding,[object Object],alternate,[object Object],supplementary,[object Object]

Angle B or angle ABC or angle CBA,[object Object],A,[object Object],C,[object Object],Which is the largest angle?,[object Object],B,[object Object],G,[object Object],B,[object Object],D,[object Object],F,[object Object],E,[object Object],I,[object Object],E,[object Object],H,[object Object],H,[object Object]

Types of angles,[object Object],Right angle,[object Object],acute,[object Object],90°,[object Object],obtuse,[object Object],180°,[object Object],reflex,[object Object]

External angle,[object Object],Internal angle,[object Object]

360°,[object Object],540°,[object Object],720°,[object Object],1080°,[object Object]

360°,[object Object],540°,[object Object],180° in a triangle:,[object Object],720°,[object Object],1080°,[object Object]

360°,[object Object],÷ 4,[object Object],540°,[object Object],÷ 5,[object Object],90°,[object Object],108°,[object Object],720°,[object Object],÷ 6,[object Object],1080°,[object Object],÷ 8,[object Object],135°,[object Object],120°,[object Object]

90°,[object Object],72°,[object Object],60°,[object Object],45°,[object Object]

Now try these,[object Object],1. A regular dodecagon has 12 sides. Find its internal angle.,[object Object],2. A regular polygon has an external angle of 36° - how many sides does it have?,[object Object],What is its internal angle?,[object Object]

Angle theorems,[object Object],A theorem is a law that is always true.,[object Object],360°,[object Object],Angles at a point add up to ,[object Object],87°,[object Object],55°,[object Object],133°,[object Object],85°,[object Object]

Angles on a straight line add up to ,[object Object],180°,[object Object],85°,[object Object],35°,[object Object],60°,[object Object]

X- angles: opposite angles are equal ,[object Object],110°,[object Object],70°,[object Object],70°,[object Object],110°,[object Object]

X- angles: opposite angles are equal ,[object Object],100°,[object Object],In fact we only need to know one angle:,[object Object],80°,[object Object],80°,[object Object],100°,[object Object]

Angles using parallel lines,[object Object],F angles: Corresponding angles (a and b) are equal ,[object Object]

Angles using parallel lines,[object Object],Z angles: alternate angles (c and d) are equal,[object Object]

Angles using parallel lines,[object Object],Supplementary angles (a and c) add up to 180°,[object Object]

Angles

Angles

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Angles