The measures of a pair of consecutive angles of a parallelogram have a ratio of 1:2. Find the measure of each angle of the parallelogram.

Answer 1

Consecutive angles of a parallelogram are supplementary (add up to 180)

if x is 1st angle

2x is 2nd angle

sum x + 2x = 180

3x = 180

x = 60

2x = 120

since opposite angles of a parallelogram are equal, two angles are 60 and two angles are 120