12345678910 The measures of two consecutive angles of a parallelogram are in the ratio 6:3. What is the measure of an acute angle of the parallelogram?

60°

Consecutive angles in a parallelogram are supplementary.

The smallest angle is x and the largest angle is 180 - x.

largest angle/smallest angle = 6/3 (as a fraction) = 180 - x/x

6x = 540 - 3x

9x = 540

x = 60