Question

Find the measure of the three missing angles in the parallelogram below. One of them is 111. What are the numbers of x, y, and z.

Answer 1

In a parallelogram opposite angles are equal and adjacent angles are supplementary. If one angle is 111°, its opposite is also 111° and the two adjacent angles are 180°−111° = 69°.

So the four angles are 111°, 69°, 111°, 69°. Thus the three missing angles are 69°, 111°, and 69° (commonly x = 69°, y = 111°, z = 69°).