ANSWER NEEDED ASAP In the figure, line a and line b are parallel. Based on the figure, match each given angle with its congruent angles. angles congruent to ∠1 angles congruent to ∠2 angles congruent to ∠7 angles congruent to ∠6 ∠3,∠7,∠6 arrowRight ∠3,∠7,∠2 arrowRight ∠4,∠8,∠5 arrowRight ∠3,∠6,∠2 arrowRight

angles 3, 7, and 6 are congruent to angle 2

angles 3, 7, and 2 are congruent to angle 6

angles 4, 8, and 5 are congruent to angle 1

angles 3, 6, and 2 are congruent to angle 7

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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