In the figure, angle d measures 31° and angle a measures 27°. the measurement of angle b is °. the measurement of angle f is °. nextreset

Angle B is 63 degrees; Angle F is 59 degrees

Step-by-step explanation:

For Angle B:

We know A is 27 degrees. You can see that angle C is a right angle, so add 90 to 27 to get 117 degrees. Subtract 117 from 180 to get 63 degrees.

For Angle F:

This is the same thing for angle B. We know Angle D is 31 degrees. You can see that E is a right angle, so you add 90 to 31 to get 121 degrees. Subtract it from 180 degrees to get 59 degrees.

Hope that helps!

can you complete your sentence? i could !

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