Question

Find the unknown angles x and y in the following figure.

Answer 1

x=70 (corresponding angles)

y =20
because linear pair of x is 110
then by exterior angle property y is 20

Answer 2

70° AND X ARE CORRESPONDING ANGLES

SO, X = 70°

AND 130°+∠QNP =  180

==> ∠QNP = 50°

AND,  X + ∠QPN = 180

==> 70 +  ∠QPN  = 180

==>  ∠QPN = 110°

IN ΔPNQ

==> 110+50+Y = 180

==>  160 + Y = 180

==> Y = 20°

X = 70° AND Y = 20°

I HOPE ITS HELPFUL