Question

write the value of X and y in the following figure ​

Answer 1

Answer:

The sum of two opposite interior angles is equal to its exterior angle.

Let that interior angle be x

x + 50 = 120

X=120-50

x=70

Also, sum of the interior angle of a triangle is 180 degree

Therefore,

50+70+ y = 180

120+ y = 180

y = 60

Answer 2

Answer:

(i) Length of opposite sides are equal

GU=SN

3y−1=26

y=327=9

GS=NU⇒3x=18

x=6

y=9

(ii) Diagonals of parallelogram bisect each other

y+7=20,y=13

x+y=16,x+13=16

x=3

y=13