Angle Realation in Circle

Angle Relationship in Circle

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Have exactly 2 same angles

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​Isoceles Triangle

Multiple Choice

If red angle is 36, determine the green angle

• 18

• 36

• 72

• 144

The angle in a semi-circle is a right angle (90^o)

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​Theorem 1

Find the value of z !

31+90+z=180​

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​Example 1

Multiple Choice

Find the value of y !

• 47

• 43

• 90

• 53

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​Theorem 2

Find the value of f !

46+e=90​

e+e+f=180​

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​Example

Multiple Choice

Find the value of x!

• 97

• 48.5

• 83

• 41.5

The angle at the centre of a circle is twice the angle at the circumference

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​Theorem 3

Find the value of b!

2(140)+b=180​

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​Example

Multiple Choice

Find the value of g!

• 254

• 124

• 127

• 53

Angles in the same segment are equal

p=q​

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​Theorem 4

Find the value of a!

a=

b=​

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​Example

Multiple Choice

Find the value of f!

• 80

• 60

• 120

• 40

The opposite angles of a cyclic quadrilateral add up to 180^o

​a+c=180^o

b+d=180^o​

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​Theorem 5

Find the value of p !

95+p=180​

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​Example

Multiple Choice

Find the value of b!

• 110

• 60

• 70

• 120

Multiple Choice

~Challenge~

Find the value of z!

• 47

• 94

• 24

• 28.5

Open Ended

Any theorem want to repeat?