# Four-sided Figures: Finding Unknown Angles - Part 1

*Example: *

*Example:*

In the figure below, find the unknown marked angles.

Since there are two pairs of parallel sides in the above figure, WXYZ is a parallelogram.

Therefore,

∠y= ∠w =53°

The sum of a pair of angles between two parallel lines is 180°.Also,

∠y + ∠z = 180°

∠z= 180° - 53 ° =127°

The opposite angles of a parallelogram are equal.And,

∠x= ∠z =127°