In the given 5.67 lines AB || CD. Find ∠x and ∠y from the angles given in the figure.

From the given figure

To find: Values of x and y

Given: AB||CD

∠ABC = ∠ BCD (Alternate angles are equal)

X + 80° = 116°

X = 116° - 80°

X = 36°

Now BC is a straight line, and we know that the sum of angles made on straight line = 180°, So,

∠ ABC + y = 180°

116° + y = 180°

Y = 180° - 116°

Y = 64°

Hence, x = 36° and y = 64°