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42 votes
42 votes
2

The trapezium, ABCD, has four angles as shown.
All the angles are in degrees.
A
2x + 5
B
3y-20
(i) Show that 7x + 4y = 390.
(ii) Show that 2x + 3y = 195.



PLEASE HELP THIS IS URGENT!!!

2 The trapezium, ABCD, has four angles as shown. All the angles are in degrees. A-example-1
User Meetpd
by
3.5k points

1 Answer

18 votes
18 votes
2(i).
(3y-20)+(4x-5)+(x+y-10)+(2x+5)=360 (Angles sum of it trapezium)
3y-20+4x-5+x+y-10+2x+5=360
7x+4y=390
(Shown)

2(ii).
(3y-20)+(2x+5)=180 (Interior Angles, Parallel Lines)
2x+3y=195
(Shown)

Hope it helps : )
User Andrew MacNaughton
by
3.2k points
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