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

#### 1. 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°

Also,

∠y + ∠z = 180°

∠z = 180° − 53° = 127°

∠y + ∠z = 180°

∠z = 180° − 53° = 127°

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

And,

∠x = ∠z = 127°

∠x = ∠z = 127°

The opposite angles of a parallelogram are equal.