The value of X and y of the given congruent shapes would be;
For question 1.)
x = 7.5
Y= 4
For question 2.)
x= 20
y = 11
For question 3.)
x= 36
y = 4.
For question 4.)
x= 13½
y= 8
How to calculate the missing values of the given congruent shapes?
To calculate the value of the given congruent shapes the following steps should be taken as follows:
For question 1.)
Given that
ABCD ≈ FGDC
BA = GF
That is;
3y+2 = 14
3y = 14-2
y = 12/3
y = 4
Also
∠A = ∠F
91° = 4x+21
4x = 91-21
X = 70/4
X = 17.5
For question 2.)
Angle B = Angle G
108⁰ = 3(x+16)
= 3x +48
3x = 108-48
= 60
x = 60/3
= 20
Also;
Line AB = line FG
2y-1 = 21
2y = 21+1 = 22
y = 22/2
= 11
For question 3.)
Solving for x:
Given that;
ABCD ≈ FGDC
A = E
3x-2 = 2.5x+16
3x-2.5x = 16+2
0.5x = 18
x = 18/0.5 = 36
Solving for y:
11.2y+4.1 = 3.7y+34.1
11.2y-3.7y = 34.1-4.1
7.5y = 30
y = 30/7.5 = 4
For question 4.)
Angle A = Angle F
6x +11 = 8(x-2)
6x +11 = 8x-16
6x-8x = -16-11
2x = 27
x = 27/2
= 13½
Also;
line F K = line AE
¼y + 6 = ¾y+2
¼y-¾y = 2-6
-½y = -4
y = -2×-4
= 8