Contents

Symmetrical Properties 

Angle Properties

Cyclic Quadrilaterals

Problems on angle properties

Tangents from External Point

Alternate Angle Segment

Quiz

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Quiz 

Properties of Circle

In the diagram, the points A, B, C, D and E lie on the circumference of the two circles such that AEDC forms a cyclic quadrilateral and BCD is a straight line. The centre of the smaller circle is marked as O. Given that AB = BC, AE = CE, angle AED = 65° and angle ACE = 70°, find 

(i) angle ACB

(ii) angle ABC

(iii) angle OAC

(iv) angle ADC

Answers

In the diagram, AB is the diameter of the circle with centre O. CE and BE are tangents to the circle. The tangent to the circle at point B meets OC produced at D. Given that angle CBE = 28° and that the radius of the circle is 5cm, find,

(i) angle BEC

(ii) angle CAO

(iii) length of BC

(iv) angle CDE

Answers