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secondary 3 | E Maths
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Ria
Ria

secondary 3 chevron_right E Maths chevron_right Singapore

I really don’t understand the workings and answers please do explain the workings clearly n the question I don’t understand especially why is it x/2 ?? Pls do help thanks!!!

Date Posted: 4 years ago
Views: 216
AC Lim
AC Lim
4 years ago
Given Angle EHG is twice angle EGF
RATIO angle EHG : angle EGH = 2 : 1
Therefore
EHG : EGF
2 : 1
60 : 30
60 : (60/2)
If EHG= x
So EGF = x/2
Hope this helps
Ria
Ria
4 years ago
Thank you so much but may I know what is converse of interior angles and y is it used here ?
Ria
Ria
4 years ago
Thanks but may I know why is converse of interior angles used in this qn?
AC Lim
AC Lim
4 years ago
To probe EFGH is Trapezium, line EF must be parallel with GH (EF//GH). Or any two lines is parallel.
For any parallel line, total converse interior angle = 180
Since angle EFG = 90 and angle FGH = 90. Therefore interior angle EFG + FGH = 90+90 = 180. Hence we can conclude EF//GH. So, EFGH is Trapezium. You can google to get more information for converse angle. Hope this helps

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Lim Hui Xian
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Ria
Ria
4 years ago
Thank you so much but may I know what is converse of interior angles and y is it used here ?
Lim Hui Xian
Lim Hui Xian
4 years ago
that means consecutive interior angles are supplementary (add together =180°)
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