Two lines and a ray intersect to form five angles. The angles are numbered in the diagram 1 through 5. If the measure of ∠4 is 55°, what is the measure of ∠2?

Step-by-step explanation:

Given

Required

Find

From the attached image, we have:

--- right angle

So, we have:

Substitute:

To solve for , we have:

--- Vertically opposite angles

So:

its the second choice.

step-by-step explanation:

the elements in the range will be 7 less than the elements in the domain.

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