anonymous
  • anonymous
if angle AOC = 85 degrees, angle BOC = 2x+10, and angle AOB =4x-15, find the degree measures of angle BOC and angle AOB.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@stoopkid
anonymous
  • anonymous
Lol ok: So you have one big angle AOB, and this is split into two angles by a line/point C, so you have two angles joined together: AOC and BOC, and the sum of these angles will be your total angle AOB. AOC + BOC = AOB. 85 + 2x + 10 = 4x - 15. Using algebra: 110 = 2x. x = 55. Substituting this value back into our equations: BOC = 2*55 + 10 = 110+10 = 120 AOB = 4*55 -15 = 220 - 15 = 205. Let's make sure this makes sense: AOC + BOC = 85 + 120 = 205 = AOB. So it works out!
jhonyy9
  • jhonyy9
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anonymous
  • anonymous
so BOC is 55
jhonyy9
  • jhonyy9
hope this will help you understanding easy
anonymous
  • anonymous
if BOC is 55 what is AOB?
anonymous
  • anonymous
BOC is not 55. x is 55. BOC is 2x + 10 = 120. :)
anonymous
  • anonymous
i guess you need to take AOB+BOC=AOC if AOC is considered to be the largest angle
anonymous
  • anonymous
in this fashion we get the angles as 45 and 40 there can be multiple solutions unless the figure is specified
anonymous
  • anonymous
Yes, my answer is only valid if the largest angle is AOB and C is somewhere in between the two.
anonymous
  • anonymous
a. BOC=30 and AOB=55 b. BOC=40 and AOB=45 c. BOC=45 and AOB=40 d. BOC=55 and AOB=30 @stoopkid
anonymous
  • anonymous
Ok, giligails solution must be the correct one
anonymous
  • anonymous
the 2 angles must either add up to 85 or (360-85)
anonymous
  • anonymous
what seance mean?

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