Answer:
x = 13
∠F = 28°
∠S = 28°
y = 9
DE = 38 ft
Step-by-step explanation:
We are told that △DEF = △QRS
Looking at both triangles and by comparison, it is clear that;
∠R = ∠E = 123°
∠Q = ∠D = 29°
∠S = ∠F = 180 - (123 + 29) = 28°
Also,QR = DE
Thus; 5y - 7 = 38
5y = 38 + 7
5y = 45
y = 45/5
y = 9
Thus,y = 9 and DE = 38 ft
We see in the image that ∠S = (2x + 2)°
From earlier we deduced that ∠S = 28°
Thus; 2x + 2 = 28
2x = 28 - 2
2x = 26
x = 26/2
x = 13
