Final answer:
In a parallelogram, given one angle, the consecutive angles are supplementary to it, and the opposite angle is congruent. Subtract the given angle from 180 degrees to find each consecutive angle and use the same value for the opposite angle.
Step-by-step explanation:
To find the other angle measures in a parallelogram when given one angle, one must understand the properties of parallelograms. The two angles that are consecutive (adjacent) to the given angle are supplementary to it, meaning they add up to 180 degrees. Therefore, you can find each of their measures by subtracting the given angle from 180 degrees.
The angle opposite the given angle is congruent to it in a parallelogram. Therefore, its measure equals the measure of the given angle. If you're using a protractor, you can measure directly, but usually, this is not necessary due to the properties of parallelograms.
For example, if the given angle in the parallelogram is 70 degrees, the consecutive angles would each be 110 degrees (180 - 70), and the opposite angle would also be 70 degrees.