Friday, 13 May 2016

Angles

There are Equation: 360^circ in a complete turn. So in half a turn there are Equation: 180^circ , and in a quarter of a turn Equation: 90^circ .
We sometimes call a quarter of a turn a right angle, and mark it with a square
Diagram showing 360°, 180° and 90°
We can use these facts to solve simple problems. Here are some examples:
 
 

Different types of angle

These are the different types of angle:
Any angle that is less than Equation: 90^circ is called an acute angle.
Acute angle
Any angle which is between Equation: 90^circ and Equation: 180^circ is called an obtuse angle.
Obtuse angle
Any angle that is between Equation: 180^circ and Equation: 360^circ is called a reflex angle.
Reflex angle
Triangle and trapezium
You also need to remember that the angles in a triangle add up to Equation: 180^circ Equation: (p + q + r = 180^circ) , and that the angles in a quadrilateral add up to Equation: 360^circ Equation: (w + x + y + z = 360^circ) .

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