Answer:
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
<em>angle m =56</em>
OR
T = 5x - 4
= 5(12) - 4
= 60 - 4
= 56
<em>angle T= 56</em>
angle M = angle T= angle A
<em>angle A = 56</em>
