in a paralleogram,if angle A=(2x+25)degree and angle B=(3x-5)degree,find the value of x and the measure of each angle of the parallelogram.
A parallelogram has two equal angles A and two equal angles B. The equal angles are diagonally across from one another.
A + B = 180 degrees. Thus
2x + 25 + 3x -5 = 180
5x = 160
x = 32
A = 89
B = 91.
It is almost a rectangle.
The angles of a parallelogram satisfy the identities:
A=C
B=D
A+B=180°
A+B+C+D=360°.
C=A=(2x+25)
D=B=(3x-5)
A+B=180°
2x+25+3x-5=180°
5x+20°=180°
5x=180°-20°
5x=160°
x=160°/5
x=32°
A=C=(2x+25°)=2*32°+25°=64°+25°=89°
B=D=(3x-5°)=3*32°-5°=96°-5°=91°
A=89°
B=91°
C=89°
D=91°
A+B=91°+89°=180°
A+B+C+D=89°+91°+89°+91°=360°
find the of each parallelogram and what lathr mean like u' f.v.y.n
To find the value of x and the measure of each angle of the parallelogram, we can use the properties of a parallelogram. In a parallelogram, opposite angles are equal.
Given that angle A has a measure of (2x + 25) degrees and angle B has a measure of (3x - 5) degrees, we can set up the equation:
(2x + 25) degrees = (3x - 5) degrees
Let's solve it step by step:
2x + 25 = 3x - 5 (subtracting 2x from both sides)
25 = x - 5 (subtracting x from both sides)
x = 30
Now that we have found the value of x, we can substitute it back into the equations to find the measure of each angle:
Angle A = 2x + 25 degrees
Angle A = 2(30) + 25 degrees
Angle A = 60 + 25 degrees
Angle A = 85 degrees
Angle B = 3x - 5 degrees
Angle B = 3(30) - 5 degrees
Angle B = 90 - 5 degrees
Angle B = 85 degrees
So, the value of x is 30, and each angle of the parallelogram is 85 degrees.