(SAT Prep) In the given figure, the reflex angle ∠DOB has measure of 3.5y while the measure of ∠AOD is y. Find the measure of the non-reflex ∠DOB in degrees.

Respuesta :

Answer:

252°

Step-by-step explanation:

In the figure attached, the diagram is shown. There, we can see that

∠DOB = ∠AOD + ∠AOC + ∠COB

Replacing with the equivalences: ∠DOB has a measure of 3.5y, the measure of ∠AOD is y, and ∠AOC + ∠COB measure 180°, we get:

3.5y = y + 180°

3.5y - y = 180°

2.5y = 180°

y = 180°/2.5

y = 72°

Therefore, ∠DOB = 3.5*72° = 252°

Ver imagen jbiain

Answer:

108 degrees

Step-by-step explanation:

m∠DOB=m∠AOD+m∠AOC+m∠COB And then we substitute, m∠DOB=3.5y, m∠AOD=y, m∠AOC+m∠COB=180 degrees. So the equation will then be 3.5y=y+180 degrees

y= 72

m∠DOB=3.5 x 72   m∠DOB=252 degrees, this is the reflex angle.

360-252=108 degrees, the non-reflex m∠DOB= 108 degrees