TWO OPPOSITE ANGLES OF A PARALLELOGRAM ARE (3X-2)DEGREE AND (50-X)DEGREE FIND THE MEASURE OF EACH ANGLES
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To find the measure of each angle in a parallelogram, we need to know that opposite angles of a parallelogram are equal.
In this case, we are given that two opposite angles of the parallelogram are (3x-2) degrees and (50-x) degrees.
Since these two angles are opposite angles, they must be equal to each other.
So, we can set up an equation:
3x-2 = 50-x
Now, let's solve for x:
3x + x = 50 + 2
4x = 52
x = 13
Now that we have the value of x, we can substitute it back into one of the expressions to find the measure of each angle:
Angle 1 = 3x - 2 = 3(13) - 2 = 39 - 2 = 37 degrees
Angle 2 = 50 - x = 50 - 13 = 37 degrees
Therefore, the measure of each angle in the parallelogram is 37 degrees.