josiecasey7 josiecasey7
  • 24-06-2020
  • Mathematics
contestada

Line segment OC splits AOB into two angles. Find AOC, if AOB = 155 degree, and m COB is 15 degrees less than m AOC.

Line segment OC splits AOB into two angles Find AOC if AOB 155 degree and m COB is 15 degrees less than m AOC class=

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Favouredlyf Favouredlyf
  • 30-06-2020

Answer:

Step-by-step explanation:

The diagram representing the scenario is shown in the attached photo. From the photo, lines AO, BO and CO meet at a common point O. Since angle AOB is 155 degrees and angle COB is 15 degrees lesser, then angle COB is

155 - 15 = 140 degrees

Recall, the sum of the angles at a point is 360 degrees. Therefore, the sum of the angles at point O is

Angle AOC + 140 + 155 = 360

Angle AOC + 295 = 360

Angle AOC = 360 - 295 = 65 degrees

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