Lee Han Min's answer to Suzie's Secondary 3 E Maths Singapore question.
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Hi!
Your ans for a is correct!
b) angle ACF = angle AEF
(reason: angles subtended by an arc)
c) be careful! Angle AFE is not bisected!
Instead, CFED is a cyclical quadrilateral (all vertices on the circle) so CFE and CDE are opposite angles
CFE + CDE = 180°
CFE = 180 - CDE
d) similar to part c.
ABCF is a cyclical quad; ABC and CFA are opposite angles
ABC + CFA = 180°
CFA = AFE - CFE
Hope this helps!
Your ans for a is correct!
b) angle ACF = angle AEF
(reason: angles subtended by an arc)
c) be careful! Angle AFE is not bisected!
Instead, CFED is a cyclical quadrilateral (all vertices on the circle) so CFE and CDE are opposite angles
CFE + CDE = 180°
CFE = 180 - CDE
d) similar to part c.
ABCF is a cyclical quad; ABC and CFA are opposite angles
ABC + CFA = 180°
CFA = AFE - CFE
Hope this helps!
Date Posted:
3 years ago
Thank you so much！
Most welcome!
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