Ask Singapore Homework?
Upload a photo of a Singapore homework and someone will email you the solution for free.
Question
primary 6 | Maths
| Geometry
One Answer Below
Anyone can contribute an answer, even non-tutors.
Please help, thank you
Date Posted: 5 years ago
Views: 279
See 1 Answer
done
{{ upvoteCount }} Upvotes
clear
{{ downvoteCount * -1 }} Downvotes
If you look carefully at the angles, there are three pairs of vertically opposite angles.
ACB = ECF
DCE = GCA
FCG = BCD
so ACB + DCE + FCG = ECF + GCA + BCD,
but these six angles enclose a point (360 degrees) so ACB + DCE + FCG = 180 degrees
(ECF _ GCA + BCD happens to also be 180 degrees)
Since the three triangles have a total of 540 degrees, the sum of the 6 wanted angles
= 540 - (ACB + DCE + FCG)
= 540 - 180
= 360 degrees
ACB = ECF
DCE = GCA
FCG = BCD
so ACB + DCE + FCG = ECF + GCA + BCD,
but these six angles enclose a point (360 degrees) so ACB + DCE + FCG = 180 degrees
(ECF _ GCA + BCD happens to also be 180 degrees)
Since the three triangles have a total of 540 degrees, the sum of the 6 wanted angles
= 540 - (ACB + DCE + FCG)
= 540 - 180
= 360 degrees
Date Posted:
5 years ago
360 Tutoring Program