posted by .

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

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. can xome1 help me plzz im stuck

    HELP PLZZ...A circle has radius 2 cm,(in that circle there is a traingle ABO) O is the centre of the circle. the chord AB has length 3 cm. . BO is 2cm AO is 2cm (i) Show that ÚAOB is 1.696 radians (to three decimal places). (ii) …
  2. Geometry

    If angle AOB=4x+15 and angle AOC=3x+25, find the degree measured of AOB and AOC
  3. Geometry

    Solve for x: measure of AOC= 7x-2 measure of AOB= 2x+8 measure of BOC= 3x+14
  4. geometry

    in a regular polygon, with center O, and a side AB, measure of angle AOB =72 degrees. If AB is 4.6 in. find the perimeter
  5. Geom

    If m<AOC = 49°, m<BOC = 2x°+10°, and m<AOB = 4x°–15° find the degree measure of BOC and AOB. mBOC = 18°; mAOB = 31° mBOC = 28°; mAOB = 21° mBOC = 21°; mAOB = 28° mBOC = 31°; mAOB = 18°
  6. geometry

    if angle aob=4x+15 and aoc=3x+25, find the degree measures of angle aob and angle aoc
  7. geometry

    In circle O, ∠AOB intercepts an arc whose measure is 50°. What is the measure of ∠AOB?
  8. Geometry

    ƒ¡ is a circle with center O . A and B are points on ƒ¡ such that the sector AOB has perimeter 40 . What is the measure of ÚAOB (in radians) when the area of the sector AOB is maximized
  9. geometry!

    Γ is a circle with center O. A and B are points on Γ such that the sector AOB has a perimeter of 40. Amongst all circular sectors with a perimeter of 40, what is the central measure of ∠AOB (in radians) of the sector …
  10. math

    In a circle with a radius of 5cm and is centered at point O, angle AOB intercepts arc AB. Arc AB has a length of 10cm. What is the degree measure of angle AOB?

More Similar Questions