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Cloud [144]
3 years ago
13

Review: Angle Bisectors

Mathematics
1 answer:
zmey [24]3 years ago
7 0

Answer:

  • m∠AOC = 15°
  • m∠BOC = 15°

Step-by-step explanation:

Given the angle ∠AOB

It is stated that CO is the angle bisector of ∠AOB.

Given that ∠AOB = 30°

As we know that the angle bisector bisects the angle into two equal angles.

Thus, the angle bisector CO bisects the angle ∠AOB into two equal angles, which are:

  • m∠AOC
  • m∠BOC

as

∠AOB = 30°

Thus, the two formed angles i.e m∠AOC and m∠BOC by the angle bisector would be half of the angle bisector as the angle bisector bisects the angle ∠AOB into two equal angles.

Therefore,

  • m∠AOC = 15°
  • m∠BOC = 15°
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