Question

Find the missing information. PLEASE HELP ITS A QUIZ DUE SOON

Answer 1

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