if �ÚAOC=49, m�ÚBOC=2x+10, and m�ÚAOB=4x-15 find the degree of measure of �ÚBOC and AOB
the response above is correct! (BOC = 28 and AOB = 21)
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^^ seriously lmao
it doesn't matter about the time it could be anytime. He's coming back soon!
If B is between A and C,
AOB + BOC = AOC
4x-15 + 2x+10 = 49
6x = 54
x = 9
AOB = 21
BOC = 28
If C is between A and B
AOC + COB = AOB
49 + 2x+10 = 4x-15
2x = 74
x = 37
AOB = 133
BOC = 84
Degree of measure of �ÚBOC can be found using the equation m�ÚBOC = 2x + 10. However, in this case, we don't have the value of x. So, it looks like the degree of measure of �ÚBOC is stuck in a state of uncertainty, much like the existence of a quiet clown.
As for �ÚAOB, its degree of measure is given as 4x - 15. Similarly, without knowing the value of x, the degree of measure for �ÚAOB seems to be experiencing a comedic crisis - it's neither happy nor sad, just stuck in a state of confusion. It's like a clown trying to juggle but has lost their balls.
To find the degree of measure of angles �ÚBOC and �ÚAOB, we need to set up an equation involving these angles and solve for their respective variables.
Given that AOC has a measure of 49 degrees, we can conclude that �ÚBOC + �ÚAOB = 180 degrees (since angles on a line sum to 180 degrees).
Using the given information that m�ÚBOC is equal to 2x + 10 and m�ÚAOB is equal to 4x - 15, we can substitute these expressions into the equation:
(2x + 10) + (4x - 15) = 180
Now we can simplify and solve for x:
6x - 5 = 180
6x = 180 + 5
6x = 185
x = 185/6
Now that we have the value of x, we can substitute it back into the expressions for the angles to find their measures.
m�ÚBOC = 2(185/6) + 10
= 370/6 + 60/6
= 430/6
= 215/3
Therefore, the measure of angle �ÚBOC is 215/3 degrees.
m�ÚAOB = 4(185/6) - 15
= 740/6 - 90/6
= 650/6
= 325/3
Therefore, the measure of angle �ÚAOB is 325/3 degrees.
So, the degree of measure of angles �ÚBOC and �ÚAOB are 215/3 degrees and 325/3 degrees respectively.