Question

if angle AOC = 85 degrees, angle BOC = 2x+10, and angle AOB =4x-15, find the degree measures of angle BOC and angle AOB.

Answer 1

@stoopkid

Answer 2

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!

Answer 3

so BOC is 55

Answer 4

hope this will help you understanding easy

Answer 5

if BOC is 55 what is AOB?

Answer 6

BOC is not 55.
x is 55.
BOC is 2x + 10 = 120.

:)

Answer 7

i guess you need to take AOB+BOC=AOC if AOC is considered to be the largest angle

Answer 8

in this fashion we get the angles as 45 and 40
there can be multiple solutions unless the figure is specified

Answer 9

Yes, my answer is only valid if the largest angle is AOB and C is somewhere in between the two.

Answer 10

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

Answer 11

Ok, giligails solution must be the correct one

Answer 12

the 2 angles must either add up to 85 or (360-85)

Answer 13

what seance mean?