# geometry

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if ÚAOC=49, mÚBOC=2x+10, and mÚAOB=4x-15 find the degree of measure of ÚBOC and AOB

• geometry -

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

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