In a certain Parallelogram the degree measure of one angle exceeda that of the other by 30 what is the degree measure of the smaller angle?
parallelograms are composed of two pairs of equal angles (the opposite angles are equal), with each adjacent pair of angles summing to 180 degrees.
So, if we know that:
x + y = 180
x - y = 30
We can solve for both angles.
Subtracting the second equation from the first (if we wanted to solve for the bigger angle, we would have added instead of subtracted), we get:
2y = 150
y = 75
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