Answer:
160°, 20°, and 20°
Explanation:
The sum of the measures of the interior angles of a polygon of n sides is
(n - 2)180.
A parallelogram has 4 sides and 2 pairs of congruent opposite angles.
The sum of the measures of the interior angles of a parallelogram is:
(n - 2)180 = (4 - 2)180 = 2(180) = 360
Let each angle of one pair of opposite angle measure x, and let each angle of the other pair of opposite angles measure y.
Then
2x + 2y = 360
We are given that x = 160
2(160) + 2y = 360
320 + 2y = 360
2y = 40
y = 20
The other three angles measure 160°, 20°, and 20°