In parallelogram math, angle m = (3x+20) and angle T = (5x-4). Find angle A

Angle A = 56°

Step-by-step explanation:

To solve this equation, we need to first know, what a parallelogram is.

A parallelogram is simply a 2-D shape with opposite sides parallel and equal in length. This means that if angle a and b are both opposite angle in a parallelogram then angle a is equal to angle b.

In the question above;

angle m = angle T = angle A

angle m = (3x + 20) and angle T = (5x - 4)

angle m = angle T

(3x + 20) = (5x - 4)

3x + 20 = 5x - 4

collect like term

(lets move the x variable to the right hand side and the the constant to the left hand side)

20 + 4 = 5x - 3x

24 = 2x

(To get the value of x, we simply divide both-side of the equation by 2)

24 / 2 = 2x / 2

(On the right hand side of the equation, the 2 at the numerator will cancel out the two at the denominator leaving us with just x, on the left hand side of the equation, 24 will be divided by 2 which will give us 12)

12 = x

x = 12

Substituting x = 12 in either angle m or T

angle m = 3x + 20

= 3 (12) + 20

= 36 + 20

= 56

angle m = 56

OR

T = 5x - 4

= 5 (12) - 4

= 60 - 4

= 56

angle T = 56

angle M = angle T = angle A

angle A = 56

M=T = angle A

try it

then. find angle a the sum of palleogram is ... then 12+A = ...

angle A = ...