the measure of one angle of a parallelogram is 25 degree.find the measures of the other angles of the parallelogram
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To find the measures of the other angles of a parallelogram when one angle is given, we need to use the properties of parallelograms.
In a parallelogram, opposite angles are congruent, which means they have the same measure. So, if one angle is 25 degrees, its opposite angle will also be 25 degrees.
Since the adjacent angles in a parallelogram are supplementary, which means they add up to 180 degrees, we can find the measures of the other two angles.
Let's denote the measure of the other two angles as x.
Adjacent angle 1 + Adjacent angle 2 = 180 degrees.
So, x + x = 180 degrees.
2x = 180 degrees.
To solve for x, divide both sides of the equation by 2.
x = 90 degrees.
Therefore, the other two angles of the parallelogram are 90 degrees each.