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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