F4 Circles (6): cyclic quadrilaterals

Which of the following pairs of angles is/are equal?

• a and f

• b and d

• c and e

• d and g

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CCSS.HSG.C.A.2

In the figure,
x = (no need to input unit in your answer)

(a)  

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CCSS.HSG.C.A.2

In the figure,
y = (no need to input unit in your answer)

(a)  

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CCSS.HSG.C.A.2

In the figure,

• $x=32\degree$ and $y=32\degree$ .

• $x=67\degree$ and $y=32\degree$ .

• $x=67\degree$ and $y=67\degree$ .

• $x=102\degree$ and $y=67\degree$ .

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CCSS.HSG.C.A.2

In the figure, AFEB and BEDC are two circles. GFED is a straight line.

 $\angle CDE=$  (no need to input unit in your answer)

(a)  

As in Q.5,

 $\angle CDE=74\degree$   and it is known that  $\angle BAF=80\degree$ .  Which of the following is true? 

• AC // GD

• AF // CD

• AFEB is a trapezium.

• BEDC is a trapezium.