In a parallelogram in which angle A = 135 degree determine the measure of angle A and B
consecutive angles are supplementary.
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To find the measure of angles A and B in a parallelogram when angle A is given as 135 degrees, we need to use the properties of a parallelogram.
In a parallelogram, opposite angles are congruent. This means that angle A and angle C (opposite angles) will have the same measure.
Since angle A is given as 135 degrees, angle C will also have a measure of 135 degrees.
To find the measure of angle B, we can use the fact that the sum of the interior angles of any quadrilateral is equal to 360 degrees.
In a parallelogram, adjacent angles are supplementary, meaning they add up to 180 degrees. So, angle A and angle B are adjacent angles.
Since angle A is given as 135 degrees, and angle A + angle B = 180 degrees, we can solve for angle B.
180 degrees - 135 degrees = 45 degrees.
Therefore, in the given parallelogram, angle A measures 135 degrees, and angle B measures 45 degrees.