Question

Trapezium ABCD AB||CD angle a = y+60 angle b= x + 60 angle c = 3x -40 angle d= 3y - 80 Find each angle of trapezium

Answer 1

in trapezium all angle are 360 degree

angle a+angleb+anglec+angled =360

y+60+x+60+3x-40+3y-80=360

4y+4x+120-120=360

4(x+y)=360

x+y=90

x=90-y (1)

Now angle b+angle c=180

x+60+3x-40=180

4x+20=180 (2)

put(1)in(2)

4(90-y)+20=180

360-4y+20=180

380-4y=180

-4y=-200

y=50 (3)

put in (1)

x=40 (4)

Put in all angles

angle A=110,angle B=100 angle C=80 angle D=70

Answer 2

Answer:

y = 50 x = 40

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Step-by-step explanation: