Pls help
Show workings???

11.375°

Step-by-step explanation:

55 + (4x + 17) + (4x + 17) = 180°    Set up equation

4x + 4x + 55 + 17 + 17 = 180°    Commutative Property of Addition

8x + 89 = 180°    Combine like terms

8x = 91°    Subtract 89 from both sides

x = 11.375°   Divide both sides by 8

Not entirely sure about this one; you might have to round the answer.

step-by-step explanation:

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west