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PLEASE HELP ME I REALLY NEED A GOOD GRADE ON IT

PLEASE HELP ME I REALLY NEED A GOOD GRADE ON IT-example-1
User Hesam
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2 Answers

3 votes

Answer:

the answer is b

all work is shown and pictured

PLEASE HELP ME I REALLY NEED A GOOD GRADE ON IT-example-1
User Mwigdahl
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5.9k points
5 votes

Answer:

Option B.

Explanation:

It is given that m∠AOC = 85°, m∠BOC = (2x + 10) and m∠AOB = (4x - 15)

From the picture attached, m∠AOC = m∠BOC + m∠AOB

Now we replace the values of angles as given

85 = 2x + 10 + 4x - 15

6x - 5 = 85

6x = 85 + 5

6x = 90

x =
(90)/(6)

x = 15

Since m∠BOC = 2x + 10

By replacing x = 15

m∠BOC = 2(15) + 10

= 30 + 10

= 40°

And ∠AOB = 4x - 15

By replacing x = 15

∠AOB = 4(15) - 15

= 60 - 15

= 45°

Therefore, Option B is the answer.

User Marek Manduch
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6.1k points