In a parallelogram, opposite angles are equal, and the sum of the angles in any quadrilateral is 360 degrees.
If angle D is 125 degrees, then angle B, which is opposite to angle D, is also 125 degrees.
To find angles A and C, we can use the property that consecutive angles in a parallelogram are supplementary (they add up to 180 degrees).
Therefore, angle A + angle D = 180 degrees.
Substituting the measure of angle D:
angle A + 125 degrees = 180 degrees
angle A = 180 degrees – 125 degrees = 55 degrees.
Since angle C is opposite angle A, angle C is also 55 degrees.
So, the angles in parallelogram ABCD are:
- Angle A = 55 degrees
- Angle B = 125 degrees
- Angle C = 55 degrees
- Angle D = 125 degrees