the adjacent angle of parallelogramare in the ratio of 2:3 find themeasure of all the angles
To find the measure of all the angles in a parallelogram, we need to know the ratio of the adjacent angles. Let's assume that the measures of the adjacent angles are 2x and 3x, where x is a common factor.
In a parallelogram, opposite angles are equal, so the opposite angles in this case would also have measures of 2x and 3x.
Since the sum of the measures of adjacent angles in a parallelogram is 180 degrees, we can set up an equation:
2x + 3x = 180
Combine like terms:
5x = 180
Divide both sides by 5:
x = 36
Now that we have the value of x, we can find the measures of the adjacent angles:
2x = 2 * 36 = 72 degrees
3x = 3 * 36 = 108 degrees
Therefore, the measure of all the angles in the parallelogram would be:
Opposite angles: 72 degrees and 108 degrees
Adjacent angles: 72 degrees and 108 degrees