Let ∠1, ∠2, and ∠3 have the following relationships. I WILL GIVE 20 POINTS PLS
∠1 and ∠2 are adjacent right angles.
∠1 and ∠3 are vertical angles.
What is the measure of ∠1 plus the measure of ∠3 minus the measure of ∠2?

If 1 and 2 are adjacent right angles, they are both 90º.

1 and 3 are vertical, which means they must be congruent, so 3 is also 90º

So: 90 + 90 - 90 = 90

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