Two opposite angles of a parallelogram are (5x-2)degree and (40-x)degree. Find the measure of each angle of a parallelogram.
Remember that in a parallelogram , opposite angles must be equal
so solve 5x-2 = 40-x
then sub back in to find the actual angles.
To find the other pair of opposite angles, remember that adjacent angles in your figure have to add up to 180°
let me know what you get.
Each angle measures:
33 degree
147 degree
33 degree
147 degree
I am a very good girl
To find the measure of each angle of a parallelogram, we need to use the fact that opposite angles of a parallelogram are congruent. In other words, if angle A and angle B are opposite angles of a parallelogram, then angle A is equal to angle B.
Given that two opposite angles of the parallelogram are (5x-2) degrees and (40-x) degrees, we can set up an equation:
(5x-2) = (40-x)
To solve this equation, we will combine like terms:
5x + x = 40 + 2
6x = 42
Now we can solve for x by dividing both sides of the equation by 6:
x = 42 / 6
x = 7
Now that we have found the value of x, we can substitute it back into one of the original expressions to find the measure of the angles:
Angle 1 = 5x - 2 = 5(7) - 2 = 35 - 2 = 33 degrees
Angle 2 = 40 - x = 40 - 7 = 33 degrees
Thus, each angle of the parallelogram measures 33 degrees.