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primary 6 | Maths | Geometry
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Gerye
Gerye

primary 6 chevron_right Maths chevron_right Geometry chevron_right Singapore

Angles question, pls help

Date Posted: 3 months ago
Views: 33
J
J
3 months ago
HY = YG as given by the question.

EH = FG since both are sides of a square.

Both angle EHY and angle FGY are 90° as they are angles of a square's corners.

By Side-Angle-Side (SAS) similarity, Triangle EHY and Triangle FGY are congruent.

(loosely means identical. Don't worry about SAS as it's only taught in secondary school.)


So angle HEY = angle GFY = 27°.

Angle YEG = 45° - 27° = 18°

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AC Lim
Ac Lim's answer
3178 answers (A Helpful Person)
1st
Hope this helps
J
J
3 months ago
In case you're wondering why YEF is 63° also, and need the explanation in your answer,

EY and FY are both lines from adjacent corners of the same square, E and F, to the midpoint Y of the same opposite side, HG.

So EY = FY and triangle EFY is isosceles.

So angle YEF = angle YFE = 63°
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AC Lim
Ac Lim's answer
3178 answers (A Helpful Person)
Another shorter step to answer b). Hope this helps
Gerye
Gerye
3 months ago
Ok thank u for ur help!!
J
J
3 months ago
Does your school require explanation for why it's 63°? If yes, refer to my comments on the main comment section of the question and the comment on the other answer
AC Lim
AC Lim
3 months ago
I think is a bonus to know about the 63° . It may need it other questions. Thanks J.
J
J
3 months ago
No problem , just trying to help